928900 has 36 divisors (see below), whose sum is σ = 2305408. Its totient is φ = 318240.

The previous prime is 928883. The next prime is 928903. The reversal of 928900 is 9829.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (928903) by changing a digit.

928900 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 11 ways as a sum of consecutive naturals, for example, 37 + ... + 1363.

2⁹²⁸⁹⁰⁰ 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 928900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152704).

928900 is an abundant number, since it is smaller than the sum of its proper divisors (1376508).

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

928900 is a wasteful number, since it uses less digits than its factorization.

928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 928900 is about 963.7945839234. The cubic root of 928900 is about 97.5715013542.

It can be divided in two parts, 9 and 28900, that multiplied together give a square (260100 = 510²).

The spelling of 928900 in words is "nine hundred twenty-eight thousand, nine hundred".