13286628 has 36 divisors (see below), whose sum is σ = 33824700. Its totient is φ = 4397376.

The previous prime is 13286627. The next prime is 13286659. The reversal of 13286628 is 82668231.

13286628 is a `hidden beast` number, since 1 + 3 + 28 + 6 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3849444 + 9437184 = 1962^2 + 3072^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13286628² = 353068967220768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13286592 and 13286601.

It is not an unprimeable number, because it can be changed into a prime (13286621) 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 11 ways as a sum of consecutive naturals, for example, 4126 + ... + 6602.

It is an arithmetic number, because the mean of its divisors is an integer number (939575).

Almost surely, 2^13286628 is an apocalyptic number.

13286628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13286628 is an abundant number, since it is smaller than the sum of its proper divisors (20538072).

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

13286628 is a wasteful number, since it uses less digits than its factorization.

13286628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2631 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13286628 is about 3645.0827151109. The cubic root of 13286628 is about 236.8490198995.

The spelling of 13286628 in words is "thirteen million, two hundred eighty-six thousand, six hundred twenty-eight".