13428688 has 80 divisors (see below), whose sum is σ = 33497856. Its totient is φ = 5068800.

The previous prime is 13428677. The next prime is 13428703. The reversal of 13428688 is 88682431.

It is a super-2 number, since 2×13428688² = 360659322802688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13428688.

It is a congruent number.

It is an unprimeable number.

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, 33288 + ... + 33688.

Almost surely, 2^13428688 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 13428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748928).

13428688 is an abundant number, since it is smaller than the sum of its proper divisors (20069168).

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

13428688 is a wasteful number, since it uses less digits than its factorization.

13428688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 13428688 is about 3664.5174307131. The cubic root of 13428688 is about 237.6901553746.

The spelling of 13428688 in words is "thirteen million, four hundred twenty-eight thousand, six hundred eighty-eight".