13928040529920 has 2048 divisors, whose sum is σ = 58094418240000. Its totient is φ = 3128615239680.

The previous prime is 13928040529901. The next prime is 13928040530021. The reversal of 13928040529920 is 2992504082931.

13928040529920 is a `hidden beast` number, since 1 + 3 + 9 + 28 + 0 + 4 + 0 + 529 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93476782006 + ... + 93476782154.

Almost surely, 2^{13928040529920} is an apocalyptic number.

13928040529920 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 13928040529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047209120000).

13928040529920 is an abundant number, since it is smaller than the sum of its proper divisors (44166377710080).

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

13928040529920 is a wasteful number, since it uses less digits than its factorization.

13928040529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 13928040529920 in words is "thirteen trillion, nine hundred twenty-eight billion, forty million, five hundred twenty-nine thousand, nine hundred twenty".