928992 has 24 divisors (see below), whose sum is σ = 2438856. Its totient is φ = 309632.

The previous prime is 928979. The next prime is 929003. The reversal of 928992 is 299829.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×928992² = 1726052272128, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 928992.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 928992.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4743 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (101619).

2⁹²⁸⁹⁹² is an apocalyptic number.

It is an amenable number.

928992 is an abundant number, since it is smaller than the sum of its proper divisors (1509864).

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

928992 is a wasteful number, since it uses less digits than its factorization.

928992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9682 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 928992 is about 963.8423107542. The cubic root of 928992 is about 97.5747224694.

The spelling of 928992 in words is "nine hundred twenty-eight thousand, nine hundred ninety-two".