13839828 has 48 divisors (see below), whose sum is σ = 34386240. Its totient is φ = 4320000.

The previous prime is 13839821. The next prime is 13839829. The reversal of 13839828 is 82893831.

It is a self number, because there is not a number n which added to its sum of digits gives 13839828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13839821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22728 + ... + 23328.

It is an arithmetic number, because the mean of its divisors is an integer number (716380).

Almost surely, 2^13839828 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 13839828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193120).

13839828 is an abundant number, since it is smaller than the sum of its proper divisors (20546412).

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

13839828 is a wasteful number, since it uses less digits than its factorization.

13839828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 13839828 is about 3720.1919305326. The cubic root of 13839828 is about 240.0915622859.

It can be divided in two parts, 1383 and 9828, that added together give a palindrome (11211).

The spelling of 13839828 in words is "thirteen million, eight hundred thirty-nine thousand, eight hundred twenty-eight".