13628351 has 24 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 11509520.

The previous prime is 13628341. The next prime is 13628353. The reversal of 13628351 is 15382631.

It is not a de Polignac number, because 13628351 - 2⁶ = 13628287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164156 + ... + 164238.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^13628351 is an apocalyptic number.

13628351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13628351 is a deficient number, since it is larger than the sum of its proper divisors (2459329).

13628351 is a wasteful number, since it uses less digits than its factorization.

13628351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 13628351 is about 3691.6596538684. The cubic root of 13628351 is about 238.8623881746.

The spelling of 13628351 in words is "thirteen million, six hundred twenty-eight thousand, three hundred fifty-one".