13628720 has 40 divisors (see below), whose sum is σ = 36214944. Its totient is φ = 4672512.

The previous prime is 13628711. The next prime is 13628729. The reversal of 13628720 is 2782631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13628711) and next prime (13628729).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13628729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11609 + ... + 12728.

Almost surely, 2^13628720 is an apocalyptic number.

13628720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13628720 is an abundant number, since it is smaller than the sum of its proper divisors (22586224).

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

13628720 is a wasteful number, since it uses less digits than its factorization.

13628720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24357 (or 24351 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 13628720 is about 3691.7096310517. The cubic root of 13628720 is about 238.8645439606.

The spelling of 13628720 in words is "thirteen million, six hundred twenty-eight thousand, seven hundred twenty".