12586428 has 72 divisors (see below), whose sum is σ = 34489728. Its totient is φ = 4005936.

The previous prime is 12586423. The next prime is 12586447. The reversal of 12586428 is 82468521.

12586428 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 642 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12586392 and 12586401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12586421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22075 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (479024).

Almost surely, 2^12586428 is an apocalyptic number.

12586428 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 12586428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17244864).

12586428 is an abundant number, since it is smaller than the sum of its proper divisors (21903300).

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

12586428 is a wasteful number, since it uses less digits than its factorization.

12586428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 591 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12586428 is about 3547.7356158541. The cubic root of 12586428 is about 232.6130979411.

The spelling of 12586428 in words is "twelve million, five hundred eighty-six thousand, four hundred twenty-eight".