657142928 has 40 divisors (see below), whose sum is σ = 1376995200. Its totient is φ = 302004864.

The previous prime is 657142921. The next prime is 657142943. The reversal of 657142928 is 829241756.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (657142921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43103 + ... + 56321.

It is an arithmetic number, because the mean of its divisors is an integer number (34424880).

Almost surely, 2^657142928 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 657142928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688497600).

657142928 is an abundant number, since it is smaller than the sum of its proper divisors (719852272).

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

657142928 is a wasteful number, since it uses less digits than its factorization.

657142928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13479 (or 13473 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 657142928 is about 25634.7991605162. The cubic root of 657142928 is about 869.4006212005.

The spelling of 657142928 in words is "six hundred fifty-seven million, one hundred forty-two thousand, nine hundred twenty-eight".