152972928 has 64 divisors (see below), whose sum is σ = 451492800. Its totient is φ = 50989824.

The previous prime is 152972923. The next prime is 152972929. The reversal of 152972928 is 829279251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (152972923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18676 + ... + 25587.

It is an arithmetic number, because the mean of its divisors is an integer number (7054575).

Almost surely, 2^152972928 is an apocalyptic number.

152972928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152972928 is an abundant number, since it is smaller than the sum of its proper divisors (298519872).

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

152972928 is an equidigital number, since it uses as much as digits as its factorization.

152972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44286 (or 44268 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 152972928 is about 12368.2225077009. Note that the first 3 decimals coincide. The cubic root of 152972928 is about 534.8165767111.

It can be divided in two parts, 15297 and 2928, that added together give a square (18225 = 135²).

The spelling of 152972928 in words is "one hundred fifty-two million, nine hundred seventy-two thousand, nine hundred twenty-eight".