12707728 has 40 divisors (see below), whose sum is σ = 27158976. Its totient is φ = 5712000.

The previous prime is 12707693. The next prime is 12707729. The reversal of 12707728 is 82770721.

It is a super-2 number, since 2×12707728² = 322972701843968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12707693 and 12707702.

It is not an unprimeable number, because it can be changed into a prime (12707729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17778 + ... + 18478.

Almost surely, 2^12707728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12707728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488).

12707728 is an abundant number, since it is smaller than the sum of its proper divisors (14451248).

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

12707728 is a wasteful number, since it uses less digits than its factorization.

12707728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 12707728 is about 3564.7900358927. The cubic root of 12707728 is about 233.3579692809.

It can be divided in two parts, 1270 and 7728, that added together give a palindrome (8998).

The spelling of 12707728 in words is "twelve million, seven hundred seven thousand, seven hundred twenty-eight".