228642800 has 60 divisors (see below), whose sum is σ = 550883640. Its totient is φ = 91196160.

The previous prime is 228642787. The next prime is 228642803. The reversal of 228642800 is 8246822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228642803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203039 + ... + 204161.

It is an arithmetic number, because the mean of its divisors is an integer number (9181394).

Almost surely, 2^228642800 is an apocalyptic number.

228642800 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 228642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275441820).

228642800 is an abundant number, since it is smaller than the sum of its proper divisors (322240840).

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

228642800 is a wasteful number, since it uses less digits than its factorization.

228642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 228642800 is about 15120.9391242740. The cubic root of 228642800 is about 611.4850496224.

The spelling of 228642800 in words is "two hundred twenty-eight million, six hundred forty-two thousand, eight hundred".