829928004 has 24 divisors (see below), whose sum is σ = 1938777120. Its totient is φ = 276317184.

The previous prime is 829927979. The next prime is 829928041. The reversal of 829928004 is 400829928.

829928004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29949 + ... + 50564.

It is an arithmetic number, because the mean of its divisors is an integer number (80782380).

Almost surely, 2^829928004 is an apocalyptic number.

It is an amenable number.

829928004 is an abundant number, since it is smaller than the sum of its proper divisors (1108849116).

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

829928004 is a wasteful number, since it uses less digits than its factorization.

829928004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81379 (or 81377 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 829928004 is about 28808.4710458573. The cubic root of 829928004 is about 939.7524638683.

The spelling of 829928004 in words is "eight hundred twenty-nine million, nine hundred twenty-eight thousand, four".