12688928 has 48 divisors (see below), whose sum is σ = 29340864. Its totient is φ = 5287680.

The previous prime is 12688927. The next prime is 12688931. The reversal of 12688928 is 82988621.

It is a super-2 number, since 2×12688928² = 322017787578368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12688927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7523 + ... + 9053.

It is an arithmetic number, because the mean of its divisors is an integer number (611268).

Almost surely, 2^12688928 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 12688928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14670432).

12688928 is an abundant number, since it is smaller than the sum of its proper divisors (16651936).

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

12688928 is a wasteful number, since it uses less digits than its factorization.

12688928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1577 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 12688928 is about 3562.1521584570. The cubic root of 12688928 is about 233.2428347458.

The spelling of 12688928 in words is "twelve million, six hundred eighty-eight thousand, nine hundred twenty-eight".