I'll be in Dubai from 16 to 28 february. I'll be free in the evenings as I'll be working from 9am to 5pm only with Fridays and Saturdays being my days off. What should I definitely do there? Suggestions for places that are historically important and also places where I can shop cheap (especially electronics) will be much appreciated. I'm also considering options in the nearby Emirates. And my budget is 200 AED/day (with exceptions for shopping, of course) for the full 13 days.
If you need any more details, please ask in comments.