228829800 has 48 divisors (see below), whose sum is σ = 709374240. Its totient is φ = 61021120.

The previous prime is 228829781. The next prime is 228829819. The reversal of 228829800 is 8928822.

228829800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228829781) and next prime (228829819).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190092 + ... + 191291.

It is an arithmetic number, because the mean of its divisors is an integer number (14778630).

Almost surely, 2^228829800 is an apocalyptic number.

228829800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228829800 is an abundant number, since it is smaller than the sum of its proper divisors (480544440).

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

228829800 is a wasteful number, since it uses less digits than its factorization.

228829800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381402 (or 381393 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 228829800 is about 15127.1213388404. The cubic root of 228829800 is about 611.6517092105.

The spelling of 228829800 in words is "two hundred twenty-eight million, eight hundred twenty-nine thousand, eight hundred".