152931328 has 44 divisors (see below), whose sum is σ = 333529992. Its totient is φ = 69509120.

The previous prime is 152931293. The next prime is 152931329. The reversal of 152931328 is 823139251.

152931328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (44).

It is a junction number, because it is equal to n+sod(n) for n = 152931293 and 152931302.

It is not an unprimeable number, because it can be changed into a prime (152931329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4476 + ... + 18052.

Almost surely, 2^152931328 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 152931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166764996).

152931328 is an abundant number, since it is smaller than the sum of its proper divisors (180598664).

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

152931328 is a wasteful number, since it uses less digits than its factorization.

152931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13590 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 152931328 is about 12366.5406642278. The cubic root of 152931328 is about 534.7680923443.

The spelling of 152931328 in words is "one hundred fifty-two million, nine hundred thirty-one thousand, three hundred twenty-eight".