928080 has 60 divisors (see below), whose sum is σ = 3119220. Its totient is φ = 247296.

The previous prime is 928079. The next prime is 928097. The reversal of 928080 is 80829.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 374544 = 744^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×928080² = 1722664972800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (51987).

2⁹²⁸⁰⁸⁰ is an apocalyptic number.

928080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559610).

928080 is an abundant number, since it is smaller than the sum of its proper divisors (2191140).

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

928080 is a wasteful number, since it uses less digits than its factorization.

928080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 928080 is about 963.3690881485. The cubic root of 928080 is about 97.5427820139.

The spelling of 928080 in words is "nine hundred twenty-eight thousand, eighty".