Simply put, this game is amazing. While it can be closely compared to The Amazing Spider Man, I think this one is better, even on A4 iOS devices which have to run a lower quality type of the game. Beside the good performance, the game has bad combat, very animated (doesn't feel controlled so much as cued) and is very repetitive. These things aside, comes the games strong points. It is very fun, because it has a wide-open exporible Gotham City. Your ability to glide, and your grapple gun make a fun experience, and if that's not enough, you get to drive that Batmobile and Bat Pod (motercycle version), and I can't prove this for myself, but I've heard things of a jet-like vehicle. These things said, this game is much darker than spider man (hostage shootings, on-screen police deaths). The combat is also somewhat brutal.
The final verdict is that this is a great game, but should be given to kids over 10.
As of 9-28-12 the game is on sale on the App Store for 99¢.