928980 has 72 divisors (see below), whose sum is σ = 3042312. Its totient is φ = 228096.

The previous prime is 928979. The next prime is 929003. The reversal of 928980 is 89829.

928980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 887364 = 204^2 + 942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142 + ... + 2538.

2⁹²⁸⁹⁸⁰ is an apocalyptic number.

928980 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 928980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521156).

928980 is an abundant number, since it is smaller than the sum of its proper divisors (2113332).

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

928980 is a wasteful number, since it uses less digits than its factorization.

928980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 928980 is about 963.8360856494. The cubic root of 928980 is about 97.5743023360.

The spelling of 928980 in words is "nine hundred twenty-eight thousand, nine hundred eighty".