13728256672 has 36 divisors (see below), whose sum is σ = 29266481790. Its totient is φ = 6336115968.

The previous prime is 13728256613. The next prime is 13728256673. The reversal of 13728256672 is 27665282731.

It can be written as a sum of positive squares in 3 ways, for example, as 7029816336 + 6698440336 = 83844^2 + 81844^2 .

It is not an unprimeable number, because it can be changed into a prime (13728256673) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1263847 + ... + 1274662.

Almost surely, 2^13728256672 is an apocalyptic number.

It is an amenable number.

13728256672 is an abundant number, since it is smaller than the sum of its proper divisors (15538225118).

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

13728256672 is a wasteful number, since it uses less digits than its factorization.

13728256672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538545 (or 2538524 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 49.

It can be divided in two parts, 13728 and 256672, that added together give a square (270400 = 520²).

The spelling of 13728256672 in words is "thirteen billion, seven hundred twenty-eight million, two hundred fifty-six thousand, six hundred seventy-two".