13728348120 has 64 divisors (see below), whose sum is σ = 41241957120. Its totient is φ = 3655833984.

The previous prime is 13728348061. The next prime is 13728348121. The reversal of 13728348120 is 2184382731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728348121) 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 15 ways as a sum of consecutive naturals, for example, 8559 + ... + 165921.

It is an arithmetic number, because the mean of its divisors is an integer number (644405580).

Almost surely, 2^13728348120 is an apocalyptic number.

13728348120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728348120 is an abundant number, since it is smaller than the sum of its proper divisors (27513609000).

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

13728348120 is a wasteful number, since it uses less digits than its factorization.

13728348120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158104 (or 158100 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 13728348120 in words is "thirteen billion, seven hundred twenty-eight million, three hundred forty-eight thousand, one hundred twenty".