13628340 has 72 divisors (see below), whose sum is σ = 45103968. Its totient is φ = 3303360.

The previous prime is 13628327. The next prime is 13628341. The reversal of 13628340 is 4382631.

It is a happy number.

13628340 is a `hidden beast` number, since 1 + 3 + 628 + 34 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462 + ... + 5421.

It is an arithmetic number, because the mean of its divisors is an integer number (626444).

Almost surely, 2^13628340 is an apocalyptic number.

13628340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13628340 is an abundant number, since it is smaller than the sum of its proper divisors (31475628).

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

13628340 is a wasteful number, since it uses less digits than its factorization.

13628340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6909 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13628340 is about 3691.6581640233. The cubic root of 13628340 is about 238.8623239094.

The spelling of 13628340 in words is "thirteen million, six hundred twenty-eight thousand, three hundred forty".