13628930 has 32 divisors (see below), whose sum is σ = 28301184. Its totient is φ = 4628736.

The previous prime is 13628929. The next prime is 13628957. The reversal of 13628930 is 3982631.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (884412).

Almost surely, 2^13628930 is an apocalyptic number.

13628930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13628930 is an abundant number, since it is smaller than the sum of its proper divisors (14672254).

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

13628930 is a wasteful number, since it uses less digits than its factorization.

13628930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850.

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 13628930 is about 3691.7380730491. The cubic root of 13628930 is about 238.8657708134.

The spelling of 13628930 in words is "thirteen million, six hundred twenty-eight thousand, nine hundred thirty".