13808128 has 40 divisors (see below), whose sum is σ = 27927900. Its totient is φ = 6819840.

The previous prime is 13808101. The next prime is 13808153. The reversal of 13808128 is 82180831.

It can be written as a sum of positive squares in 2 ways, for example, as 9935104 + 3873024 = 3152^2 + 1968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13808128.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76198 + ... + 76378.

Almost surely, 2^13808128 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 13808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13963950).

13808128 is an abundant number, since it is smaller than the sum of its proper divisors (14119772).

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

13808128 is an equidigital number, since it uses as much as digits as its factorization.

13808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 13808128 is about 3715.9289551874. The cubic root of 13808128 is about 239.9081129725.

Adding to 13808128 its reverse (82180831), we get a palindrome (95988959).

The spelling of 13808128 in words is "thirteen million, eight hundred eight thousand, one hundred twenty-eight".