13828644 has 72 divisors (see below), whose sum is σ = 37241568. Its totient is φ = 4484160.

The previous prime is 13828631. The next prime is 13828651. The reversal of 13828644 is 44682831.

13828644 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 8 + 644 = 666.

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 = 13828599 and 13828608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39679 + ... + 40025.

It is an arithmetic number, because the mean of its divisors is an integer number (517244).

Almost surely, 2^13828644 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 13828644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620784).

13828644 is an abundant number, since it is smaller than the sum of its proper divisors (23412924).

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

13828644 is a wasteful number, since it uses less digits than its factorization.

13828644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13828644 is about 3718.6884784827. The cubic root of 13828644 is about 240.0268719911.

It can be divided in two parts, 138 and 28644, that added together give a palindrome (28782).

The spelling of 13828644 in words is "thirteen million, eight hundred twenty-eight thousand, six hundred forty-four".