228587800 has 192 divisors, whose sum is σ = 657100800. Its totient is φ = 72230400.

The previous prime is 228587767. The next prime is 228587809. The reversal of 228587800 is 8785822.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228587809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998086 + ... + 998314.

It is an arithmetic number, because the mean of its divisors is an integer number (3422400).

Almost surely, 2^228587800 is an apocalyptic number.

228587800 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 228587800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328550400).

228587800 is an abundant number, since it is smaller than the sum of its proper divisors (428513000).

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

228587800 is a wasteful number, since it uses less digits than its factorization.

228587800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 228587800 is about 15119.1203447820. The cubic root of 228587800 is about 611.4360148036.

The spelling of 228587800 in words is "two hundred twenty-eight million, five hundred eighty-seven thousand, eight hundred".