13628441 has 8 divisors (see below), whose sum is σ = 14782824. Its totient is φ = 12513280.

The previous prime is 13628413. The next prime is 13628467. The reversal of 13628441 is 14482631.

It can be written as a sum of positive squares in 4 ways, for example, as 2572816 + 11055625 = 1604^2 + 3325^2 .

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 13628441 - 2¹⁰ = 13627417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13628411) 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, 9080 + ... + 10473.

It is an arithmetic number, because the mean of its divisors is an integer number (1847853).

Almost surely, 2^13628441 is an apocalyptic number.

It is an amenable number.

13628441 is a deficient number, since it is larger than the sum of its proper divisors (1154383).

13628441 is a wasteful number, since it uses less digits than its factorization.

13628441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19611.

The product of its digits is 4608, while the sum is 29.

The square root of 13628441 is about 3691.6718434877. The cubic root of 13628441 is about 238.8629139797.

The spelling of 13628441 in words is "thirteen million, six hundred twenty-eight thousand, four hundred forty-one".