152456928 has 72 divisors (see below), whose sum is σ = 433398168. Its totient is φ = 46904832.

The previous prime is 152456897. The next prime is 152456933. The reversal of 152456928 is 829654251.

It is a super-2 number, since 2×152456928² = 46486229790394368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152456928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11526 + ... + 20922.

It is an arithmetic number, because the mean of its divisors is an integer number (6019419).

Almost surely, 2^152456928 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 152456928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216699084).

152456928 is an abundant number, since it is smaller than the sum of its proper divisors (280941240).

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

152456928 is a wasteful number, since it uses less digits than its factorization.

152456928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9436 (or 9415 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 152456928 is about 12347.3449777675. The cubic root of 152456928 is about 534.2145611988.

The spelling of 152456928 in words is "one hundred fifty-two million, four hundred fifty-six thousand, nine hundred twenty-eight".