83204128 has 24 divisors (see below), whose sum is σ = 187209792. Its totient is φ = 35658816.

The previous prime is 83204113. The next prime is 83204153. The reversal of 83204128 is 82140238.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 83204096 and 83204105.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 185500 + ... + 185947.

It is an arithmetic number, because the mean of its divisors is an integer number (7800408).

Almost surely, 2^83204128 is an apocalyptic number.

It is an amenable number.

83204128 is an abundant number, since it is smaller than the sum of its proper divisors (104005664).

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

83204128 is a wasteful number, since it uses less digits than its factorization.

83204128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371464 (or 371456 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 83204128 is about 9121.6296789554. The cubic root of 83204128 is about 436.5643730887.

The spelling of 83204128 in words is "eighty-three million, two hundred four thousand, one hundred twenty-eight".