928000 has 72 divisors (see below), whose sum is σ = 2391480. Its totient is φ = 358400.

The previous prime is 927973. The next prime is 928001. The reversal of 928000 is 829.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 891136 = 192^2 + 944^2 .

It is a super-2 number, since 2×928000² = 1722368000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31986 + ... + 32014.

It is an arithmetic number, because the mean of its divisors is an integer number (33215).

2⁹²⁸⁰⁰⁰ 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 928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195740).

928000 is an abundant number, since it is smaller than the sum of its proper divisors (1463480).

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

928000 is an equidigital number, since it uses as much as digits as its factorization.

928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 928000 is about 963.3275663034. The cubic root of 928000 is about 97.5399792215.

Adding to 928000 its reverse (829), we get a palindrome (928829).

The spelling of 928000 in words is "nine hundred twenty-eight thousand".