12689928 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3953664.

The previous prime is 12689923. The next prime is 12689969. The reversal of 12689928 is 82998621.

It is a super-2 number, since 2×12689928² = 322068545290368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12689923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130776 + ... + 130872.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^12689928 is an apocalyptic number.

12689928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

12689928 is an abundant number, since it is smaller than the sum of its proper divisors (24001272).

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

12689928 is a wasteful number, since it uses less digits than its factorization.

12689928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 12689928 is about 3562.2925202740. The cubic root of 12689928 is about 233.2489617858.

The spelling of 12689928 in words is "twelve million, six hundred eighty-nine thousand, nine hundred twenty-eight".