Yes, it fits. It is the EF mount lens, so it is compatible with both types of cameras: Full Frame and Crop Sensor.
As this camera has a Crop Sensor, the lens will act as 160mm. That means the field of view is narrower but also the distance from the photographed object may be greater. The former helps to "take off" an object from it's background and the latter is useful in insects photography - they are less disturbed.
Also F/2.8 must be multipiled by 1.6x that gives ca. F/4.5.
