13628096 has 28 divisors (see below), whose sum is σ = 27919680. Its totient is φ = 6593280.

The previous prime is 13628093. The next prime is 13628107. The reversal of 13628096 is 69082631.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13628093) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1451 + ... + 5418.

Almost surely, 2^13628096 is an apocalyptic number.

13628096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13628096 is an abundant number, since it is smaller than the sum of its proper divisors (14291584).

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

13628096 is an equidigital number, since it uses as much as digits as its factorization.

13628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 13628096 is about 3691.6251163952. The cubic root of 13628096 is about 238.8608983810.

The spelling of 13628096 in words is "thirteen million, six hundred twenty-eight thousand, ninety-six".