228824176204800 has 792 divisors, whose sum is σ = 904549786358400. Its totient is φ = 54804133478400.

The previous prime is 228824176204787. The next prime is 228824176204847. The reversal of 228824176204800 is 8402671428822.

It is a happy number.

228824176204800 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 2 + 4 + 1 + 7 + 620 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 209811301 + ... + 210899099.

Almost surely, 2^{228824176204800} is an apocalyptic number.

228824176204800 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 228824176204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452274893179200).

228824176204800 is an abundant number, since it is smaller than the sum of its proper divisors (675725610153600).

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

228824176204800 is a wasteful number, since it uses less digits than its factorization.

228824176204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087929 (or 1087903 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 228824176204800 in words is "two hundred twenty-eight trillion, eight hundred twenty-four billion, one hundred seventy-six million, two hundred four thousand, eight hundred".