12728352 has 192 divisors, whose sum is σ = 43352064. Its totient is φ = 3179520.

The previous prime is 12728351. The next prime is 12728363. The reversal of 12728352 is 25382721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270793 + ... + 270839.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

Almost surely, 2^12728352 is an apocalyptic number.

12728352 is a gapful number since it is divisible by the number (12) 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 12728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21676032).

12728352 is an abundant number, since it is smaller than the sum of its proper divisors (30623712).

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

12728352 is a wasteful number, since it uses less digits than its factorization.

12728352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 12728352 is about 3567.6816001432. The cubic root of 12728352 is about 233.4841437755.

The spelling of 12728352 in words is "twelve million, seven hundred twenty-eight thousand, three hundred fifty-two".