13728808900 has 27 divisors (see below), whose sum is σ = 29794058119. Its totient is φ = 5491054880.

The previous prime is 13728808897. The next prime is 13728808903. The reversal of 13728808900 is 980882731.

The square root of 13728808900 is 117170.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (13728808897) and next prime (13728808903).

It can be written as a sum of positive squares in 4 ways, for example, as 7911390916 + 5817417984 = 88946^2 + 76272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13728808903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1165842 + ... + 1177558.

Almost surely, 2^13728808900 is an apocalyptic number.

13728808900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13728808900 is the 117170-th square number.

It is an amenable number.

13728808900 is an abundant number, since it is smaller than the sum of its proper divisors (16065249219).

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

13728808900 is an frugal number, since it uses more digits than its factorization.

13728808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23448 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 13728808900 in words is "thirteen billion, seven hundred twenty-eight million, eight hundred eight thousand, nine hundred".