157955328 has 108 divisors (see below), whose sum is σ = 459164160. Its totient is φ = 52220928.

The previous prime is 157955327. The next prime is 157955351. The reversal of 157955328 is 823559751.

157955328 is a `hidden beast` number, since 1 + 5 + 79 + 553 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157955327) 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, 412225 + ... + 412607.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^157955328 is an apocalyptic number.

157955328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229582080).

157955328 is an abundant number, since it is smaller than the sum of its proper divisors (301208832).

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

157955328 is a wasteful number, since it uses less digits than its factorization.

157955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 157955328 is about 12568.0280076072. The cubic root of 157955328 is about 540.5610629412.

The spelling of 157955328 in words is "one hundred fifty-seven million, nine hundred fifty-five thousand, three hundred twenty-eight".