928400 has 60 divisors (see below), whose sum is σ = 2444784. Its totient is φ = 336000.

The previous prime is 928399. The next prime is 928409. The reversal of 928400 is 4829.

It is not an unprimeable number, because it can be changed into a prime (928409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4295 + ... + 4505.

2⁹²⁸⁴⁰⁰ 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 928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222392).

928400 is an abundant number, since it is smaller than the sum of its proper divisors (1516384).

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

928400 is a wasteful number, since it uses less digits than its factorization.

928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 928400 is about 963.5351576357. The cubic root of 928400 is about 97.5539915732.

The spelling of 928400 in words is "nine hundred twenty-eight thousand, four hundred".