12836628 has 108 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 3465504.

The previous prime is 12836617. The next prime is 12836633. The reversal of 12836628 is 82663821.

12836628 is a `hidden beast` number, since 1 + 28 + 3 + 6 + 628 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 12836592 and 12836601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33325 + ... + 33707.

Almost surely, 2^12836628 is an apocalyptic number.

12836628 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 12836628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

12836628 is an abundant number, since it is smaller than the sum of its proper divisors (26999532).

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

12836628 is a wasteful number, since it uses less digits than its factorization.

12836628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12836628 is about 3582.8240258210. The cubic root of 12836628 is about 234.1443334844.

The spelling of 12836628 in words is "twelve million, eight hundred thirty-six thousand, six hundred twenty-eight".