83408928 has 48 divisors (see below), whose sum is σ = 219443616. Its totient is φ = 27740160.

The previous prime is 83408921. The next prime is 83408947. The reversal of 83408928 is 82980438.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83408928.

It is not an unprimeable number, because it can be changed into a prime (83408921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63963 + ... + 65253.

It is an arithmetic number, because the mean of its divisors is an integer number (4571742).

Almost surely, 2^83408928 is an apocalyptic number.

It is an amenable number.

83408928 is an abundant number, since it is smaller than the sum of its proper divisors (136034688).

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

83408928 is a wasteful number, since it uses less digits than its factorization.

83408928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 83408928 is about 9132.8488435975. The cubic root of 83408928 is about 436.9222684994.

The spelling of 83408928 in words is "eighty-three million, four hundred eight thousand, nine hundred twenty-eight".