8029642728 has 64 divisors (see below), whose sum is σ = 20785622400. Its totient is φ = 2581850880.

The previous prime is 8029642717. The next prime is 8029642813. The reversal of 8029642728 is 8272469208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839493 + ... + 849003.

It is an arithmetic number, because the mean of its divisors is an integer number (324775350).

Almost surely, 2^8029642728 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 8029642728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392811200).

8029642728 is an abundant number, since it is smaller than the sum of its proper divisors (12755979672).

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

8029642728 is a wasteful number, since it uses less digits than its factorization.

8029642728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 8029642728 is about 89608.2737697809. The cubic root of 8029642728 is about 2002.4671825869.

The spelling of 8029642728 in words is "eight billion, twenty-nine million, six hundred forty-two thousand, seven hundred twenty-eight".