152285328 has 60 divisors (see below), whose sum is σ = 458976700. Its totient is φ = 46856448.

The previous prime is 152285327. The next prime is 152285339. The reversal of 152285328 is 823582251.

152285328 is a `hidden beast` number, since 1 + 52 + 285 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 143712144 = 2928^2 + 11988^2 .

It is a super-2 number, since 2×152285328² = 46381642248135168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152285292 and 152285301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152285321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38803 + ... + 42546.

Almost surely, 2^152285328 is an apocalyptic number.

152285328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

152285328 is an abundant number, since it is smaller than the sum of its proper divisors (306691372).

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

152285328 is a wasteful number, since it uses less digits than its factorization.

152285328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81376 (or 81367 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 152285328 is about 12340.3941590210. The cubic root of 152285328 is about 534.0140550944.

The spelling of 152285328 in words is "one hundred fifty-two million, two hundred eighty-five thousand, three hundred twenty-eight".