928320 has 56 divisors (see below), whose sum is σ = 2950464. Its totient is φ = 247296.

The previous prime is 928313. The next prime is 928331. The reversal of 928320 is 23829.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

928320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 1443.

2⁹²⁸³²⁰ 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 928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475232).

928320 is an abundant number, since it is smaller than the sum of its proper divisors (2022144).

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

928320 is a wasteful number, since it uses less digits than its factorization.

928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 928320 is about 963.4936429474. The cubic root of 928320 is about 97.5511894249.

The spelling of 928320 in words is "nine hundred twenty-eight thousand, three hundred twenty".