13928679828576 has 96 divisors (see below), whose sum is σ = 41044134106080. Its totient is φ = 4595028369408.

The previous prime is 13928679828527. The next prime is 13928679828599. The reversal of 13928679828576 is 67582897682931.

13928679828576 is a `hidden beast` number, since 1 + 39 + 2 + 8 + 6 + 7 + 9 + 8 + 2 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13928679828495 and 13928679828504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83014941 + ... + 83182556.

It is an arithmetic number, because the mean of its divisors is an integer number (427543063605).

Almost surely, 2^{13928679828576} is an apocalyptic number.

13928679828576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13928679828576 is an abundant number, since it is smaller than the sum of its proper divisors (27115454277504).

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

13928679828576 is a wasteful number, since it uses less digits than its factorization.

13928679828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166197613 (or 166197599 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 13928679828576 in words is "thirteen trillion, nine hundred twenty-eight billion, six hundred seventy-nine million, eight hundred twenty-eight thousand, five hundred seventy-six".