13928578560 has 400 divisors, whose sum is σ = 53735685696. Its totient is φ = 3427909632.

The previous prime is 13928578513. The next prime is 13928578561. The reversal of 13928578560 is 6587582931.

13928578560 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 8 + 5 + 78 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13928578497 and 13928578506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13928578561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2693097 + ... + 2698263.

Almost surely, 2^13928578560 is an apocalyptic number.

13928578560 is a gapful number since it is divisible by the number (10) 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 13928578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867842848).

13928578560 is an abundant number, since it is smaller than the sum of its proper divisors (39807107136).

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

13928578560 is an equidigital number, since it uses as much as digits as its factorization.

13928578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 13928578560 in words is "thirteen billion, nine hundred twenty-eight million, five hundred seventy-eight thousand, five hundred sixty".