829925928 has 192 divisors, whose sum is σ = 2660112000. Its totient is φ = 231289344.

The previous prime is 829925911. The next prime is 829925939. The reversal of 829925928 is 829529928.

829925928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×829925928² = 1377554091933322368, which contains 22 as substring.

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, 408018 + ... + 410046.

It is an arithmetic number, because the mean of its divisors is an integer number (13854750).

Almost surely, 2^829925928 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 829925928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330056000).

829925928 is an abundant number, since it is smaller than the sum of its proper divisors (1830186072).

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

829925928 is a wasteful number, since it uses less digits than its factorization.

829925928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 829925928 is about 28808.4350147661. The cubic root of 829925928 is about 939.7516802952.

The spelling of 829925928 in words is "eight hundred twenty-nine million, nine hundred twenty-five thousand, nine hundred twenty-eight".