152747328 has 56 divisors (see below), whose sum is σ = 407164032. Its totient is φ = 50535424.

The previous prime is 152747303. The next prime is 152747333. The reversal of 152747328 is 823747251.

It is a super-2 number, since 2×152747328² = 46663492422279168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23401 + ... + 29207.

Almost surely, 2^152747328 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 152747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203582016).

152747328 is an abundant number, since it is smaller than the sum of its proper divisors (254416704).

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

152747328 is a wasteful number, since it uses less digits than its factorization.

152747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5949 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 152747328 is about 12359.0989962861. The cubic root of 152747328 is about 534.5535367459.

The spelling of 152747328 in words is "one hundred fifty-two million, seven hundred forty-seven thousand, three hundred twenty-eight".