12828606 has 64 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 3466080.

The previous prime is 12828601. The next prime is 12828611. The reversal of 12828606 is 60682821.

It is an interprime number because it is at equal distance from previous prime (12828601) and next prime (12828611).

It is a super-3 number, since 3×12828606³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12828601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76735 + ... + 76901.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 2^12828606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12828606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

12828606 is an abundant number, since it is smaller than the sum of its proper divisors (18137154).

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

12828606 is a wasteful number, since it uses less digits than its factorization.

12828606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 12828606 is about 3581.7043429072. The cubic root of 12828606 is about 234.0955486777.

The spelling of 12828606 in words is "twelve million, eight hundred twenty-eight thousand, six hundred six".