13828595976 has 48 divisors (see below), whose sum is σ = 40333407660. Its totient is φ = 4254952320.

The previous prime is 13828595951. The next prime is 13828595993. The reversal of 13828595976 is 67959582831.

13828595976 is a `hidden beast` number, since 1 + 38 + 2 + 8 + 5 + 9 + 597 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10738347876 + 3090248100 = 103626^2 + 55590^2 .

It is a super-3 number, since 3×13828595976³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7386135 + ... + 7388006.

Almost surely, 2^13828595976 is an apocalyptic number.

It is an amenable number.

13828595976 is an abundant number, since it is smaller than the sum of its proper divisors (26504811684).

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

13828595976 is a wasteful number, since it uses less digits than its factorization.

13828595976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774166 (or 14774159 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 13828595976 in words is "thirteen billion, eight hundred twenty-eight million, five hundred ninety-five thousand, nine hundred seventy-six".