829978879928 has 32 divisors (see below), whose sum is σ = 1697719115520. Its totient is φ = 377255340000.

The previous prime is 829978879927. The next prime is 829978879943.

829978879928 is nontrivially palindromic in base 10.

829978879928 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 2×829978879928² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829978879928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829978879927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7932353 + ... + 8036303.

It is an arithmetic number, because the mean of its divisors is an integer number (53053722360).

Almost surely, 2^829978879928 is an apocalyptic number.

829978879928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

829978879928 is an abundant number, since it is smaller than the sum of its proper divisors (867740235592).

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

829978879928 is a wasteful number, since it uses less digits than its factorization.

829978879928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194699 (or 194695 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 86.

The spelling of 829978879928 in words is "eight hundred twenty-nine billion, nine hundred seventy-eight million, eight hundred seventy-nine thousand, nine hundred twenty-eight".