157928000 has 112 divisors (see below), whose sum is σ = 412089600. Its totient is φ = 59788800.

The previous prime is 157927993. The next prime is 157928003. The reversal of 157928000 is 829751.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (157928003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151481 + ... + 152519.

Almost surely, 2^157928000 is an apocalyptic number.

157928000 is a gapful number since it is divisible by the number (10) 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 157928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206044800).

157928000 is an abundant number, since it is smaller than the sum of its proper divisors (254161600).

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

157928000 is a wasteful number, since it uses less digits than its factorization.

157928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 157928000 is about 12566.9407573999. The cubic root of 157928000 is about 540.5298868171.

The spelling of 157928000 in words is "one hundred fifty-seven million, nine hundred twenty-eight thousand".