13728420 has 48 divisors (see below), whose sum is σ = 42712320. Its totient is φ = 3660768.

The previous prime is 13728419. The next prime is 13728427. The reversal of 13728420 is 2482731.

13728420 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 (27).

It is not an unprimeable number, because it can be changed into a prime (13728427) 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, 12172 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (889840).

Almost surely, 2^13728420 is an apocalyptic number.

13728420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13728420 is an abundant number, since it is smaller than the sum of its proper divisors (28983900).

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

13728420 is a wasteful number, since it uses less digits than its factorization.

13728420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25441 (or 25433 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13728420 is about 3705.1882543266. The cubic root of 13728420 is about 239.4455953004.

The spelling of 13728420 in words is "thirteen million, seven hundred twenty-eight thousand, four hundred twenty".