12828940 has 36 divisors (see below), whose sum is σ = 28281456. Its totient is φ = 4879072.

The previous prime is 12828923. The next prime is 12828943. The reversal of 12828940 is 4982821.

It is a junction number, because it is equal to n+sod(n) for n = 12828896 and 12828905.

It is not an unprimeable number, because it can be changed into a prime (12828943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76737 + ... + 76903.

It is an arithmetic number, because the mean of its divisors is an integer number (785596).

Almost surely, 2^12828940 is an apocalyptic number.

12828940 is a gapful number since it is divisible by the number (10) 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 12828940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140728).

12828940 is an abundant number, since it is smaller than the sum of its proper divisors (15452516).

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

12828940 is a wasteful number, since it uses less digits than its factorization.

12828940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 12828940 is about 3581.7509684510. The cubic root of 12828940 is about 234.0975802633.

The spelling of 12828940 in words is "twelve million, eight hundred twenty-eight thousand, nine hundred forty".