228920844800 has 90 divisors (see below), whose sum is σ = 567303423423. Its totient is φ = 91546685440.

The previous prime is 228920844787. The next prime is 228920844877. The reversal of 228920844800 is 8448029822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 219578462464 + 9342382336 = 468592^2 + 96656^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338320.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 54129086 + ... + 54133314.

Almost surely, 2^228920844800 is an apocalyptic number.

228920844800 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 228920844800

228920844800 is an abundant number, since it is smaller than the sum of its proper divisors (338382578623).

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

228920844800 is an frugal number, since it uses more digits than its factorization.

228920844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8486 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 228920844800 in words is "two hundred twenty-eight billion, nine hundred twenty million, eight hundred forty-four thousand, eight hundred".