13883628 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3773440.

The previous prime is 13883627. The next prime is 13883641. The reversal of 13883628 is 82638831.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13883627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51478 + ... + 51746.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^13883628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13883628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

13883628 is an abundant number, since it is smaller than the sum of its proper divisors (25307412).

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

13883628 is a wasteful number, since it uses less digits than its factorization.

13883628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 13883628 is about 3726.0740733378. The cubic root of 13883628 is about 240.3445744928.

The spelling of 13883628 in words is "thirteen million, eight hundred eighty-three thousand, six hundred twenty-eight".