13288628 has 24 divisors (see below), whose sum is σ = 24969672. Its totient is φ = 6165504.

The previous prime is 13288609. The next prime is 13288631. The reversal of 13288628 is 82688231.

It can be written as a sum of positive squares in 4 ways, for example, as 813604 + 12475024 = 902^2 + 3532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13288591 and 13288600.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 3626 + ... + 6302.

It is an arithmetic number, because the mean of its divisors is an integer number (1040403).

Almost surely, 2^13288628 is an apocalyptic number.

It is an amenable number.

13288628 is a deficient number, since it is larger than the sum of its proper divisors (11681044).

13288628 is a wasteful number, since it uses less digits than its factorization.

13288628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2769 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 13288628 is about 3645.3570469846. The cubic root of 13288628 is about 236.8609033830.

The spelling of 13288628 in words is "thirteen million, two hundred eighty-eight thousand, six hundred twenty-eight".