13728398220 has 72 divisors (see below), whose sum is σ = 41669291664. Its totient is φ = 3658578048.

The previous prime is 13728398197. The next prime is 13728398227. The reversal of 13728398220 is 2289382731.

13728398220 is a `hidden beast` number, since 1 + 37 + 2 + 8 + 398 + 220 = 666.

13728398220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13728398227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269422 + ... + 316298.

It is an arithmetic number, because the mean of its divisors is an integer number (578740162).

Almost surely, 2^13728398220 is an apocalyptic number.

13728398220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728398220 is an abundant number, since it is smaller than the sum of its proper divisors (27940893444).

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

13728398220 is a wasteful number, since it uses less digits than its factorization.

13728398220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48519 (or 48514 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13728398220 in words is "thirteen billion, seven hundred twenty-eight million, three hundred ninety-eight thousand, two hundred twenty".