832380928 has 112 divisors (see below), whose sum is σ = 1816547040. Its totient is φ = 379846656.

The previous prime is 832380917. The next prime is 832380931. The reversal of 832380928 is 829083238.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 5988283 + ... + 5988421.

It is an arithmetic number, because the mean of its divisors is an integer number (16219170).

Almost surely, 2^832380928 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 832380928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908273520).

832380928 is an abundant number, since it is smaller than the sum of its proper divisors (984166112).

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

832380928 is a wasteful number, since it uses less digits than its factorization.

832380928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 832380928 is about 28851.0125992139. The cubic root of 832380928 is about 940.6773931266.

The spelling of 832380928 in words is "eight hundred thirty-two million, three hundred eighty thousand, nine hundred twenty-eight".