13239621828 has 192 divisors, whose sum is σ = 37032145920. Its totient is φ = 4075743744.

The previous prime is 13239621827. The next prime is 13239621833. The reversal of 13239621828 is 82812693231.

13239621828 is a `hidden beast` number, since 1 + 323 + 96 + 218 + 28 = 666.

It is a super-2 number, since 2×13239621828² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13239621821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43125651 + ... + 43125957.

It is an arithmetic number, because the mean of its divisors is an integer number (192875760).

Almost surely, 2^13239621828 is an apocalyptic number.

13239621828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13239621828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18516072960).

13239621828 is an abundant number, since it is smaller than the sum of its proper divisors (23792524092).

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

13239621828 is a wasteful number, since it uses less digits than its factorization.

13239621828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 13239621828 in words is "thirteen billion, two hundred thirty-nine million, six hundred twenty-one thousand, eight hundred twenty-eight".