228624000 has 256 divisors, whose sum is σ = 828696960. Its totient is φ = 55296000.

The previous prime is 228623987. The next prime is 228624013. The reversal of 228624000 is 426822.

It is an interprime number because it is at equal distance from previous prime (228623987) and next prime (228624013).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527784 + ... + 528216.

Almost surely, 2^228624000 is an apocalyptic number.

228624000 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 228624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

228624000 is an abundant number, since it is smaller than the sum of its proper divisors (600072960).

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

228624000 is a wasteful number, since it uses less digits than its factorization.

228624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 228624000 is about 15120.3174569848. The cubic root of 228624000 is about 611.4682895144.

It can be divided in two parts, 22862 and 4000, that added together give a palindrome (26862).

The spelling of 228624000 in words is "two hundred twenty-eight million, six hundred twenty-four thousand".