13682628 has 24 divisors (see below), whose sum is σ = 35473760. Its totient is φ = 4560840.

The previous prime is 13682621. The next prime is 13682629. The reversal of 13682628 is 82628631.

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 = 13682592 and 13682601.

It is not an unprimeable number, because it can be changed into a prime (13682621) by changing a digit.

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, 63238 + ... + 63453.

Almost surely, 2^13682628 is an apocalyptic number.

13682628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13682628 is an abundant number, since it is smaller than the sum of its proper divisors (21791132).

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

13682628 is a wasteful number, since it uses less digits than its factorization.

13682628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126704 (or 126696 counting only the distinct ones).

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

The square root of 13682628 is about 3699.0036496332. The cubic root of 13682628 is about 239.1790701776.

The spelling of 13682628 in words is "thirteen million, six hundred eighty-two thousand, six hundred twenty-eight".