13728357840 has 80 divisors (see below), whose sum is σ = 43463432448. Its totient is φ = 3583001088.

The previous prime is 13728357823. The next prime is 13728357847. The reversal of 13728357840 is 4875382731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13728357840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728357847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597247 + ... + 619806.

Almost surely, 2^13728357840 is an apocalyptic number.

13728357840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728357840 is an abundant number, since it is smaller than the sum of its proper divisors (29735074608).

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

13728357840 is a wasteful number, since it uses less digits than its factorization.

13728357840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217116 (or 1217110 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 13728357840 in words is "thirteen billion, seven hundred twenty-eight million, three hundred fifty-seven thousand, eight hundred forty".