228652800 has 108 divisors (see below), whose sum is σ = 754665240. Its totient is φ = 60968960.

The previous prime is 228652769. The next prime is 228652811. The reversal of 228652800 is 8256822.

It is a congruent number.

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, 13246 + ... + 25154.

Almost surely, 2^228652800 is an apocalyptic number.

228652800 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 228652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377332620).

228652800 is an abundant number, since it is smaller than the sum of its proper divisors (526012440).

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

228652800 is a wasteful number, since it uses less digits than its factorization.

228652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11938 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 228652800 is about 15121.2697879510. The cubic root of 228652800 is about 611.4939641991.

The spelling of 228652800 in words is "two hundred twenty-eight million, six hundred fifty-two thousand, eight hundred".