Does AVR work on 32-bit ? if yes How ?

AVR 32 -bit exist .There bit by bit operation .

Yes, There are many kinds of AVR microcontrollers with different properties. Except for AVR32, which is a 32bit microcontroller, AVRs are all 8bit microprocessor, meaning that the CPU can work only 8 bits of data at time. Data larger than 8 bits has to be broken into 8 bit pieces to be processes by the CPU.

Yes..avr ATmega can work on-bits,

Yes avr works on32bit