13836072528 has 60 divisors (see below), whose sum is σ = 38829791520. Its totient is φ = 4599160128.

The previous prime is 13836072511. The next prime is 13836072571. The reversal of 13836072528 is 82527063831.

13836072528 is a `hidden beast` number, since 1 + 38 + 3 + 607 + 2 + 5 + 2 + 8 = 666.

It is a super-3 number, since 3×13836072528³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 82126 + ... + 185517.

It is an arithmetic number, because the mean of its divisors is an integer number (647163192).

Almost surely, 2^13836072528 is an apocalyptic number.

13836072528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13836072528 is an abundant number, since it is smaller than the sum of its proper divisors (24993718992).

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

13836072528 is a wasteful number, since it uses less digits than its factorization.

13836072528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268016 (or 268007 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13836072528 in words is "thirteen billion, eight hundred thirty-six million, seventy-two thousand, five hundred twenty-eight".