228556800 has 288 divisors, whose sum is σ = 845139360. Its totient is φ = 58982400.

The previous prime is 228556799. The next prime is 228556843. The reversal of 228556800 is 8655822.

228556800 is a `hidden beast` number, since 2 + 28 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372785 + ... + 7372815.

Almost surely, 2^228556800 is an apocalyptic number.

228556800 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 228556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422569680).

228556800 is an abundant number, since it is smaller than the sum of its proper divisors (616582560).

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

228556800 is an equidigital number, since it uses as much as digits as its factorization.

228556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 228556800 is about 15118.0951181027. The cubic root of 228556800 is about 611.4083735306.

The spelling of 228556800 in words is "two hundred twenty-eight million, five hundred fifty-six thousand, eight hundred".