13838328 has 48 divisors (see below), whose sum is σ = 42834480. Its totient is φ = 3953664.

The previous prime is 13838317. The next prime is 13838413. The reversal of 13838328 is 82383831.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13838292 and 13838301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13225 + ... + 14232.

It is an arithmetic number, because the mean of its divisors is an integer number (892385).

Almost surely, 2^13838328 is an apocalyptic number.

13838328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13838328 is an abundant number, since it is smaller than the sum of its proper divisors (28996152).

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

13838328 is a wasteful number, since it uses less digits than its factorization.

13838328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27476 (or 27469 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13838328 is about 3719.9903225681. The cubic root of 13838328 is about 240.0828880366.

The spelling of 13838328 in words is "thirteen million, eight hundred thirty-eight thousand, three hundred twenty-eight".