diff --git a/amqtt/broker.py b/amqtt/broker.py
index a4f8ef1a..94d54720 100644
--- a/amqtt/broker.py
+++ b/amqtt/broker.py
@@ -1,7 +1,7 @@
 # Copyright (c) 2015 Nicolas JOUANIN
 #
 # See the file license.txt for copying permission.
-from typing import Optional
+from typing import Optional, Tuple
 import logging
 import ssl
 import websockets
@@ -33,6 +33,9 @@
     "auth": {"allow-anonymous": True, "password-file": None},
 }
 
+# Default port numbers
+DEFAULT_PORTS = {"tcp": 1883, "ws": 8883}
+
 EVENT_BROKER_PRE_START = "broker_pre_start"
 EVENT_BROKER_POST_START = "broker_post_start"
 EVENT_BROKER_PRE_SHUTDOWN = "broker_pre_shutdown"
@@ -44,6 +47,48 @@
 EVENT_BROKER_MESSAGE_RECEIVED = "broker_message_received"
 
 
+def split_bindaddr_port(port_str: str, default_port: int) -> Tuple[Optional[str], int]:
+    """
+    Split an address:port pair into separate IP address and port, with IPv6
+    special-case handling.
+    """
+    # Address can be specified using one of the following methods:
+    # 1883              - Port number only (listen all interfaces)
+    # :1883             - Port number only (listen all interfaces)
+    # 0.0.0.0:1883      - IPv4 address
+    # [::]:1883         - IPv6 address
+    # empty string      - all interfaces default port
+
+    def _parse_port(port_str: str) -> int:
+        if port_str.startswith(":"):
+            port_str = port_str[1:]
+
+        if not port_str:
+            return default_port
+
+        return int(port_str)
+
+    if port_str.startswith("["):  # IPv6 literal
+        try:
+            addr_end = port_str.index("]")
+        except ValueError:
+            raise ValueError("Expecting '[' to be followed by ']'")
+
+        return (port_str[0 : addr_end + 1], _parse_port(port_str[addr_end + 1 :]))
+    elif ":" in port_str:
+        # Address : port
+        address, port_str = port_str.rsplit(":", 1)
+        return (address or None, _parse_port(port_str))
+    else:
+        # Address or port
+        try:
+            # Port number?
+            return (None, _parse_port(port_str))
+        except ValueError:
+            # Address, default port
+            return (port_str, default_port)
+
+
 class Action(Enum):
     subscribe = "subscribe"
     publish = "publish"
@@ -54,7 +99,6 @@ class BrokerException(Exception):
 
 
 class RetainedApplicationMessage:
-
     __slots__ = ("source_session", "topic", "data", "qos")
 
     def __init__(self, source_session, topic, data, qos=None):
@@ -294,10 +338,10 @@ async def start(self) -> None:
                             % (listener["certfile"], listener["keyfile"], fnfe)
                         )
 
-                address, s_port = listener["bind"].split(":")
-                port = 0
                 try:
-                    port = int(s_port)
+                    address, port = split_bindaddr_port(
+                        listener["bind"], DEFAULT_PORTS[listener["type"]]
+                    )
                 except ValueError:
                     raise BrokerException(
                         "Invalid port value in bind value: %s" % listener["bind"]
@@ -936,7 +980,7 @@ async def _run_broadcast(self, running_tasks: deque):
                 continue
 
             subscriptions = self._subscriptions[k_filter]
-            for (target_session, qos) in subscriptions:
+            for target_session, qos in subscriptions:
                 qos = broadcast.get("qos", qos)
 
                 # Retain all messages which cannot be broadcasted
diff --git a/amqtt/mqtt/protocol/handler.py b/amqtt/mqtt/protocol/handler.py
index bb6d4133..eb9875c1 100644
--- a/amqtt/mqtt/protocol/handler.py
+++ b/amqtt/mqtt/protocol/handler.py
@@ -530,8 +530,8 @@ async def _send_packet(self, packet):
             await self.handle_connection_closed()
         except asyncio.CancelledError:
             raise
-        except Exception as e:
-            self.logger.warning("Unhandled exception: %s" % e)
+        except:
+            self.logger.warning("Unhandled exception", exc_info=True)
             raise
 
     async def mqtt_deliver_next_message(self):
diff --git a/tests/test_broker.py b/tests/test_broker.py
index f9d06d34..97d26014 100644
--- a/tests/test_broker.py
+++ b/tests/test_broker.py
@@ -21,6 +21,7 @@
     EVENT_BROKER_CLIENT_SUBSCRIBED,
     EVENT_BROKER_CLIENT_UNSUBSCRIBED,
     EVENT_BROKER_MESSAGE_RECEIVED,
+    split_bindaddr_port,
 )
 from amqtt.client import MQTTClient, ConnectException
 from amqtt.mqtt import (
@@ -53,6 +54,23 @@ async def async_magic():
 MagicMock.__await__ = lambda x: async_magic().__await__()
 
 
+@pytest.mark.parametrize(
+    "input_str, output_addr, output_port",
+    [
+        ("1234", None, 1234),
+        (":1234", None, 1234),
+        ("0.0.0.0:1234", "0.0.0.0", 1234),
+        ("[::]:1234", "[::]", 1234),
+        ("0.0.0.0", "0.0.0.0", 5678),
+        ("[::]", "[::]", 5678),
+        ("localhost", "localhost", 5678),
+        ("localhost:1234", "localhost", 1234),
+    ],
+)
+def test_split_bindaddr_port(input_str, output_addr, output_port):
+    assert split_bindaddr_port(input_str, 5678) == (output_addr, output_port)
+
+
 @pytest.mark.asyncio
 async def test_start_stop(broker, mock_plugin_manager):
     mock_plugin_manager.assert_has_calls(