Hi,
First we need to make sure all vertices are welded,
That means no 2 vertices overlapping at the same place,
To do that, go to vertex subobject level, select all vertices, then in Edit vertices rollout
Find Weld, click on the small rectangle on its right and choose a small value like 0.003
And click Ok.
Weld Verices
Now, to fix the broken look, go to Polygon subobject level, select all polygons,
Go to Polygon: Smoothing Groups rollout, keep the default value on 45 for and click Auto Smooth.
You might need to increase that value from 45 to a bit higher value if you still seeing some broken faces
Smoothing faces
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