12892528 has 80 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 5299200.

The previous prime is 12892519. The next prime is 12892541. The reversal of 12892528 is 82529821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92683 + ... + 92821.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^12892528 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 12892528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12892528 is an abundant number, since it is smaller than the sum of its proper divisors (17105552).

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

12892528 is a wasteful number, since it uses less digits than its factorization.

12892528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 12892528 is about 3590.6166601296. The cubic root of 12892528 is about 234.4837194687.

The spelling of 12892528 in words is "twelve million, eight hundred ninety-two thousand, five hundred twenty-eight".