13828374 has 32 divisors (see below), whose sum is σ = 35120640. Its totient is φ = 3950856.

The previous prime is 13828351. The next prime is 13828379. The reversal of 13828374 is 47382831.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17914 + ... + 18669.

It is an arithmetic number, because the mean of its divisors is an integer number (1097520).

Almost surely, 2^13828374 is an apocalyptic number.

13828374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13828374 is an abundant number, since it is smaller than the sum of its proper divisors (21292266).

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

13828374 is a wasteful number, since it uses less digits than its factorization.

13828374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36601 (or 36595 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13828374 is about 3718.6521751839. The cubic root of 13828374 is about 240.0253098308.

The spelling of 13828374 in words is "thirteen million, eight hundred twenty-eight thousand, three hundred seventy-four".