228832000 has 72 divisors (see below), whose sum is σ = 570128832. Its totient is φ = 91520000.

The previous prime is 228831997. The next prime is 228832027. The reversal of 228832000 is 238822.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28425 + ... + 35575.

It is an arithmetic number, because the mean of its divisors is an integer number (7918456).

Almost surely, 2^228832000 is an apocalyptic number.

228832000 is a gapful number since it is divisible by the number (20) 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 228832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285064416).

228832000 is an abundant number, since it is smaller than the sum of its proper divisors (341296832).

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

228832000 is an frugal number, since it uses more digits than its factorization.

228832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 228832000 is about 15127.1940557395. The cubic root of 228832000 is about 611.6536693710.

The spelling of 228832000 in words is "two hundred twenty-eight million, eight hundred thirty-two thousand".