13728319600 has 30 divisors (see below), whose sum is σ = 32982288800. Its totient is φ = 5491327680.

The previous prime is 13728319573. The next prime is 13728319601. The reversal of 13728319600 is 691382731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728319601) 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 5 ways as a sum of consecutive naturals, for example, 17160000 + ... + 17160799.

Almost surely, 2^13728319600 is an apocalyptic number.

13728319600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728319600 is an abundant number, since it is smaller than the sum of its proper divisors (19253969200).

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

13728319600 is a wasteful number, since it uses less digits than its factorization.

13728319600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34320817 (or 34320806 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 13728319600 in words is "thirteen billion, seven hundred twenty-eight million, three hundred nineteen thousand, six hundred".