13428720 has 80 divisors (see below), whose sum is σ = 46261920. Its totient is φ = 3580416.

The previous prime is 13428707. The next prime is 13428721. The reversal of 13428720 is 2782431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13428721) 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, 949 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (578274).

Almost surely, 2^13428720 is an apocalyptic number.

13428720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23130960).

13428720 is an abundant number, since it is smaller than the sum of its proper divisors (32833200).

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

13428720 is a wasteful number, since it uses less digits than its factorization.

13428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6227 counting only the distinct ones).

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

The square root of 13428720 is about 3664.5217969061. The cubic root of 13428720 is about 237.6903441763.

The spelling of 13428720 in words is "thirteen million, four hundred twenty-eight thousand, seven hundred twenty".