157968928 has 48 divisors (see below), whose sum is σ = 342752256. Its totient is φ = 71205120.

The previous prime is 157968893. The next prime is 157968959. The reversal of 157968928 is 829869751.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13473 + ... + 22303.

It is an arithmetic number, because the mean of its divisors is an integer number (7140672).

Almost surely, 2^157968928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157968928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171376128).

157968928 is an abundant number, since it is smaller than the sum of its proper divisors (184783328).

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

157968928 is a wasteful number, since it uses less digits than its factorization.

157968928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8889 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 55.

The square root of 157968928 is about 12568.5690514076. The cubic root of 157968928 is about 540.5765766512.

It can be divided in two parts, 1579 and 68928, that added together give a palindrome (70507).

The spelling of 157968928 in words is "one hundred fifty-seven million, nine hundred sixty-eight thousand, nine hundred twenty-eight".