157667328 has 312 divisors, whose sum is σ = 572452608. Its totient is φ = 40697856.

The previous prime is 157667311. The next prime is 157667329. The reversal of 157667328 is 823766751.

157667328 is a `hidden beast` number, since 1 + 576 + 6 + 73 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

Its product of digits (423360) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157667329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354601 + ... + 3354647.

It is an arithmetic number, because the mean of its divisors is an integer number (1834784).

Almost surely, 2^157667328 is an apocalyptic number.

157667328 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 157667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286226304).

157667328 is an abundant number, since it is smaller than the sum of its proper divisors (414785280).

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

157667328 is a wasteful number, since it uses less digits than its factorization.

157667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 157667328 is about 12556.5651354182. The cubic root of 157667328 is about 540.2323280131.

The spelling of 157667328 in words is "one hundred fifty-seven million, six hundred sixty-seven thousand, three hundred twenty-eight".