13291388928 has 256 divisors, whose sum is σ = 40075963200. Its totient is φ = 4352901120.

The previous prime is 13291388861. The next prime is 13291388939. The reversal of 13291388928 is 82988319231.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×13291388928² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73432998 + ... + 73433178.

Almost surely, 2^13291388928 is an apocalyptic number.

13291388928 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 13291388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20037981600).

13291388928 is an abundant number, since it is smaller than the sum of its proper divisors (26784574272).

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

13291388928 is an frugal number, since it uses more digits than its factorization.

13291388928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 269 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

It can be divided in two parts, 132913 and 88928, that added together give a square (221841 = 471²).

The spelling of 13291388928 in words is "thirteen billion, two hundred ninety-one million, three hundred eighty-eight thousand, nine hundred twenty-eight".