12863628 has 36 divisors (see below), whose sum is σ = 34430760. Its totient is φ = 4035456.

The previous prime is 12863623. The next prime is 12863633. The reversal of 12863628 is 82636821.

12863628 is a `hidden beast` number, since 1 + 28 + 6 + 3 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (12863623) and next prime (12863633).

It is a tau number, because it is divible by the number of its divisors (36).

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 = 12863592 and 12863601.

It is not an unprimeable number, because it can be changed into a prime (12863623) 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, 9898 + ... + 11121.

It is an arithmetic number, because the mean of its divisors is an integer number (956410).

Almost surely, 2^12863628 is an apocalyptic number.

12863628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12863628 is an abundant number, since it is smaller than the sum of its proper divisors (21567132).

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

12863628 is a wasteful number, since it uses less digits than its factorization.

12863628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21046 (or 21041 counting only the distinct ones).

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

The square root of 12863628 is about 3586.5900239643. The cubic root of 12863628 is about 234.3083814929.

The spelling of 12863628 in words is "twelve million, eight hundred sixty-three thousand, six hundred twenty-eight".