13292108928 has 192 divisors, whose sum is σ = 43848168000. Its totient is φ = 3786061824.

The previous prime is 13292108927. The next prime is 13292108969. The reversal of 13292108928 is 82980129231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (13292108927) 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 23 ways as a sum of consecutive naturals, for example, 2811975 + ... + 2816697.

It is an arithmetic number, because the mean of its divisors is an integer number (228375875).

Almost surely, 2^13292108928 is an apocalyptic number.

13292108928 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 13292108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21924084000).

13292108928 is an abundant number, since it is smaller than the sum of its proper divisors (30556059072).

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

13292108928 is a wasteful number, since it uses less digits than its factorization.

13292108928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13292108928 in words is "thirteen billion, two hundred ninety-two million, one hundred eight thousand, nine hundred twenty-eight".