13928261904 has 160 divisors (see below), whose sum is σ = 42479424000. Its totient is φ = 4357017216.

The previous prime is 13928261899. The next prime is 13928261917. The reversal of 13928261904 is 40916282931.

13928261904 is a `hidden beast` number, since 1 + 3 + 9 + 28 + 2 + 619 + 0 + 4 = 666.

It is a super-3 number, since 3×13928261904³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13928261904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870327 + ... + 886185.

It is an arithmetic number, because the mean of its divisors is an integer number (265496400).

Almost surely, 2^13928261904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13928261904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21239712000).

13928261904 is an abundant number, since it is smaller than the sum of its proper divisors (28551162096).

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

13928261904 is a wasteful number, since it uses less digits than its factorization.

13928261904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13928261904 in words is "thirteen billion, nine hundred twenty-eight million, two hundred sixty-one thousand, nine hundred four".