642932928 has 336 divisors, whose sum is σ = 2191048704. Its totient is φ = 178053120.

The previous prime is 642932909. The next prime is 642932951. The reversal of 642932928 is 829239246.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5062401 + ... + 5062527.

Almost surely, 2^642932928 is an apocalyptic number.

642932928 is a gapful number since it is divisible by the number (68) 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 642932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095524352).

642932928 is an abundant number, since it is smaller than the sum of its proper divisors (1548115776).

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

642932928 is a wasteful number, since it uses less digits than its factorization.

642932928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 642932928 is about 25356.1221009838. The cubic root of 642932928 is about 863.0882872492.

The spelling of 642932928 in words is "six hundred forty-two million, nine hundred thirty-two thousand, nine hundred twenty-eight".