13743692928 has 128 divisors (see below), whose sum is σ = 46357776000. Its totient is φ = 3926762496.

The previous prime is 13743692887. The next prime is 13743692951. The reversal of 13743692928 is 82929634731.

13743692928 is a `hidden beast` number, since 1 + 37 + 436 + 92 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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, 259863 + ... + 308246.

It is an arithmetic number, because the mean of its divisors is an integer number (362170125).

Almost surely, 2^13743692928 is an apocalyptic number.

13743692928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13743692928 is an abundant number, since it is smaller than the sum of its proper divisors (32614083072).

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

13743692928 is an equidigital number, since it uses as much as digits as its factorization.

13743692928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568139 (or 568121 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 13743692928 in words is "thirteen billion, seven hundred forty-three million, six hundred ninety-two thousand, nine hundred twenty-eight".