10829828496 has 40 divisors (see below), whose sum is σ = 28072578240. Its totient is φ = 3597617536.

The previous prime is 10829828459. The next prime is 10829828531. The reversal of 10829828496 is 69482892801.

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, 370956 + ... + 399083.

It is an arithmetic number, because the mean of its divisors is an integer number (701814456).

Almost surely, 2^10829828496 is an apocalyptic number.

10829828496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10829828496 is an abundant number, since it is smaller than the sum of its proper divisors (17242749744).

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

10829828496 is a wasteful number, since it uses less digits than its factorization.

10829828496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770343 (or 770337 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 10829828496 in words is "ten billion, eight hundred twenty-nine million, eight hundred twenty-eight thousand, four hundred ninety-six".