13629728 has 48 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 5752320.

The previous prime is 13629697. The next prime is 13629751. The reversal of 13629728 is 82792631.

It is a junction number, because it is equal to n+sod(n) for n = 13629691 and 13629700.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15476 + ... + 16332.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 2^13629728 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 13629728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

13629728 is an abundant number, since it is smaller than the sum of its proper divisors (17505376).

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

13629728 is an equidigital number, since it uses as much as digits as its factorization.

13629728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 13629728 is about 3691.8461506406. The cubic root of 13629728 is about 238.8704327388.

The spelling of 13629728 in words is "thirteen million, six hundred twenty-nine thousand, seven hundred twenty-eight".