13628316 has 48 divisors (see below), whose sum is σ = 34496000. Its totient is φ = 4162752.

The previous prime is 13628311. The next prime is 13628327. The reversal of 13628316 is 61382631.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30825 + ... + 31263.

Almost surely, 2^13628316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13628316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248000).

13628316 is an abundant number, since it is smaller than the sum of its proper divisors (20867684).

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

13628316 is a wasteful number, since it uses less digits than its factorization.

13628316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 13628316 is about 3691.6549134501. The cubic root of 13628316 is about 238.8621836942.

The spelling of 13628316 in words is "thirteen million, six hundred twenty-eight thousand, three hundred sixteen".