Not only do they have tires, but if the engineer (a "hoghead" in railway-speak) get a little too enthusiastic with the brakes, he can lock up some (or all!) of the wheels and skid the wheels along the tracks. The resulting flatspots are known as "flat tires".
Repair involves truing them on a humongous lathe
When car races a train to a crossing and the engineer hits full emergency stop, he can skid the whole train. Just think of the number of flat tires to be fixed!
When you are sitting at a crossing and the train passes, It is a good bet that at least one train car will be pounding the track (you can hear it) from one or more flat tires! (Not good for the rails either! Can cause the rail to fail, and a huge headline about the resulting trainwreck)