83808928 has 48 divisors (see below), whose sum is σ = 190016064. Its totient is φ = 35642880.

The previous prime is 83808919. The next prime is 83808979. The reversal of 83808928 is 82980838.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29323 + ... + 32053.

It is an arithmetic number, because the mean of its divisors is an integer number (3958668).

Almost surely, 2^83808928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95008032).

83808928 is an abundant number, since it is smaller than the sum of its proper divisors (106207136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83808928 is a wasteful number, since it uses less digits than its factorization.

83808928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 83808928 is about 9154.7216232936. The cubic root of 83808928 is about 437.6195970177.

The spelling of 83808928 in words is "eighty-three million, eight hundred eight thousand, nine hundred twenty-eight".