12268728 has 48 divisors (see below), whose sum is σ = 33644520. Its totient is φ = 4038336.

The previous prime is 12268721. The next prime is 12268757. The reversal of 12268728 is 82786221.

It is a happy number.

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 = 12268692 and 12268701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4950 + ... + 7002.

Almost surely, 2^12268728 is an apocalyptic number.

12268728 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 12268728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822260).

12268728 is an abundant number, since it is smaller than the sum of its proper divisors (21375792).

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

12268728 is a wasteful number, since it uses less digits than its factorization.

12268728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2141 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 12268728 is about 3502.6744067926. The cubic root of 12268728 is about 230.6392299590.

It can be divided in two parts, 12268 and 728, that added together give a square (12996 = 114²).

The spelling of 12268728 in words is "twelve million, two hundred sixty-eight thousand, seven hundred twenty-eight".