157609728 has 108 divisors (see below), whose sum is σ = 461661928. Its totient is φ = 51701760.

The previous prime is 157609717. The next prime is 157609729. The reversal of 157609728 is 827906751.

157609728 is a `hidden beast` number, since 1 + 576 + 0 + 9 + 72 + 8 = 666.

157609728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157609729) 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, 153858 + ... + 154878.

Almost surely, 2^157609728 is an apocalyptic number.

157609728 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 157609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230830964).

157609728 is an abundant number, since it is smaller than the sum of its proper divisors (304052200).

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

157609728 is a wasteful number, since it uses less digits than its factorization.

157609728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 157609728 is about 12554.2713050181. The cubic root of 157609728 is about 540.1665329990.

The spelling of 157609728 in words is "one hundred fifty-seven million, six hundred nine thousand, seven hundred twenty-eight".