928172960 has 192 divisors, whose sum is σ = 2606204160. Its totient is φ = 307937280.

The previous prime is 928172951. The next prime is 928172963. The reversal of 928172960 is 69271829.

It is a happy number.

928172960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (928172963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585261 + ... + 2585619.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 2^928172960 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 928172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

928172960 is an abundant number, since it is smaller than the sum of its proper divisors (1678031200).

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

928172960 is a wasteful number, since it uses less digits than its factorization.

928172960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 928172960 is about 30465.9311362709. The cubic root of 928172960 is about 975.4603865638.

The spelling of 928172960 in words is "nine hundred twenty-eight million, one hundred seventy-two thousand, nine hundred sixty".