228656800 has 216 divisors, whose sum is σ = 633146976. Its totient is φ = 80424960.

The previous prime is 228656759. The next prime is 228656803. The reversal of 228656800 is 8656822.

It is a self number, because there is not a number n which added to its sum of digits gives 228656800.

It is not an unprimeable number, because it can be changed into a prime (228656803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5317579 + ... + 5317621.

It is an arithmetic number, because the mean of its divisors is an integer number (2931236).

Almost surely, 2^228656800 is an apocalyptic number.

228656800 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 228656800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316573488).

228656800 is an abundant number, since it is smaller than the sum of its proper divisors (404490176).

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

228656800 is a wasteful number, since it uses less digits than its factorization.

228656800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 228656800 is about 15121.4020513972. The cubic root of 228656800 is about 611.4975299570.

The spelling of 228656800 in words is "two hundred twenty-eight million, six hundred fifty-six thousand, eight hundred".