228920800 has 72 divisors (see below), whose sum is σ = 568135512. Its totient is φ = 90048000.

The previous prime is 228920789. The next prime is 228920801. The reversal of 228920800 is 8029822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228920801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46455 + ... + 51145.

It is an arithmetic number, because the mean of its divisors is an integer number (7890771).

Almost surely, 2^228920800 is an apocalyptic number.

228920800 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 228920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284067756).

228920800 is an abundant number, since it is smaller than the sum of its proper divisors (339214712).

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

228920800 is a wasteful number, since it uses less digits than its factorization.

228920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 228920800 is about 15130.1288824649. The cubic root of 228920800 is about 611.7327780936.

The spelling of 228920800 in words is "two hundred twenty-eight million, nine hundred twenty thousand, eight hundred".