13196628 has 48 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 4334400.

The previous prime is 13196611. The next prime is 13196633. The reversal of 13196628 is 82669131.

13196628 is a `hidden beast` number, since 13 + 19 + 6 + 628 = 666.

13196628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13196592 and 13196601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6808 + ... + 8528.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^13196628 is an apocalyptic number.

13196628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13196628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

13196628 is an abundant number, since it is smaller than the sum of its proper divisors (21518892).

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

13196628 is a wasteful number, since it uses less digits than its factorization.

13196628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13196628 is about 3632.7163390499. The cubic root of 13196628 is about 236.3130242538.

It can be divided in two parts, 13196 and 628, that added together give a cube (13824 = 24³).

The spelling of 13196628 in words is "thirteen million, one hundred ninety-six thousand, six hundred twenty-eight".