13385628 has 24 divisors (see below), whose sum is σ = 34703760. Its totient is φ = 4461840.

The previous prime is 13385611. The next prime is 13385677. The reversal of 13385628 is 82658331.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13385592 and 13385601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61863 + ... + 62078.

It is an arithmetic number, because the mean of its divisors is an integer number (1445990).

Almost surely, 2^13385628 is an apocalyptic number.

13385628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13385628 is an abundant number, since it is smaller than the sum of its proper divisors (21318132).

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

13385628 is a wasteful number, since it uses less digits than its factorization.

13385628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123954 (or 123946 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13385628 is about 3658.6374512925. The cubic root of 13385628 is about 237.4358267984.

It can be divided in two parts, 13 and 385628, that added together give a square (385641 = 621²).

The spelling of 13385628 in words is "thirteen million, three hundred eighty-five thousand, six hundred twenty-eight".