228363632928 has 162 divisors, whose sum is σ = 673268059737. Its totient is φ = 73420650240.

The previous prime is 228363632921. The next prime is 228363632971. The reversal of 228363632928 is 829236363822.

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.

228363632928 is a `hidden beast` number, since 2 + 283 + 6 + 36 + 329 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228227863824 + 135769104 = 477732^2 + 11652^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337908.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228363632921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235183483 + ... + 235184453.

Almost surely, 2^228363632928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228363632928

228363632928 is an abundant number, since it is smaller than the sum of its proper divisors (444904426809).

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

228363632928 is an frugal number, since it uses more digits than its factorization.

228363632928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1005 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 228363632928 in words is "two hundred twenty-eight billion, three hundred sixty-three million, six hundred thirty-two thousand, nine hundred twenty-eight".