13628416 has 22 divisors (see below), whose sum is σ = 27245570. Its totient is φ = 6813696.

The previous prime is 13628413. The next prime is 13628467. The reversal of 13628416 is 61482631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7398400 + 6230016 = 2720^2 + 2496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5631 + ... + 7678.

It is an arithmetic number, because the mean of its divisors is an integer number (1238435).

Almost surely, 2^13628416 is an apocalyptic number.

13628416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13628416 is a deficient number, since it is larger than the sum of its proper divisors (13617154).

13628416 is an equidigital number, since it uses as much as digits as its factorization.

13628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13311 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 13628416 is about 3691.6684574864. The cubic root of 13628416 is about 238.8627679229.

The spelling of 13628416 in words is "thirteen million, six hundred twenty-eight thousand, four hundred sixteen".