12879828 has 108 divisors (see below), whose sum is σ = 36969660. Its totient is φ = 3773952.

The previous prime is 12879827. The next prime is 12879851. The reversal of 12879828 is 82897821.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 11410884 = 1212^2 + 3378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879827) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 176400 + ... + 176472.

Almost surely, 2^12879828 is an apocalyptic number.

12879828 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 12879828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18484830).

12879828 is an abundant number, since it is smaller than the sum of its proper divisors (24089832).

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

12879828 is a wasteful number, since it uses less digits than its factorization.

12879828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 12879828 is about 3588.8477259421. The cubic root of 12879828 is about 234.4067001389.

The spelling of 12879828 in words is "twelve million, eight hundred seventy-nine thousand, eight hundred twenty-eight".