157832928 has 96 divisors (see below), whose sum is σ = 502225920. Its totient is φ = 47825280.

The previous prime is 157832911. The next prime is 157832951. The reversal of 157832928 is 829238751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×157832928² = 49822466322106368, 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 15 ways as a sum of consecutive naturals, for example, 1201 + ... + 17807.

It is an arithmetic number, because the mean of its divisors is an integer number (5231520).

Almost surely, 2^157832928 is an apocalyptic number.

157832928 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 157832928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251112960).

157832928 is an abundant number, since it is smaller than the sum of its proper divisors (344392992).

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

157832928 is a wasteful number, since it uses less digits than its factorization.

157832928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16637 (or 16623 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 157832928 is about 12563.1575648799. The cubic root of 157832928 is about 540.4213994623.

The spelling of 157832928 in words is "one hundred fifty-seven million, eight hundred thirty-two thousand, nine hundred twenty-eight".