13628309 has 8 divisors (see below), whose sum is σ = 13802712. Its totient is φ = 13455360.

The previous prime is 13628299. The next prime is 13628311. The reversal of 13628309 is 90382631.

It can be written as a sum of positive squares in 4 ways, for example, as 5189284 + 8439025 = 2278^2 + 2905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13628309 - 2¹² = 13624213 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 (13628389) 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, 46367 + ... + 46659.

It is an arithmetic number, because the mean of its divisors is an integer number (1725339).

Almost surely, 2^13628309 is an apocalyptic number.

It is an amenable number.

13628309 is a deficient number, since it is larger than the sum of its proper divisors (174403).

13628309 is a wasteful number, since it uses less digits than its factorization.

13628309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727.

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

The square root of 13628309 is about 3691.6539653657. The cubic root of 13628309 is about 238.8621427981.

The spelling of 13628309 in words is "thirteen million, six hundred twenty-eight thousand, three hundred nine".