928480 has 48 divisors (see below), whose sum is σ = 2509920. Its totient is φ = 317952.

The previous prime is 928471. The next prime is 928513. The reversal of 928480 is 84829.

It is a super-2 number, since 2×928480² = 1724150220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

928480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (52290).

2⁹²⁸⁴⁸⁰ 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 928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254960).

928480 is an abundant number, since it is smaller than the sum of its proper divisors (1581440).

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

928480 is a wasteful number, since it uses less digits than its factorization.

928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 928480 is about 963.5766705354. The cubic root of 928480 is about 97.5567935606.

The spelling of 928480 in words is "nine hundred twenty-eight thousand, four hundred eighty".