12728232 has 96 divisors (see below), whose sum is σ = 38942400. Its totient is φ = 3849120.

The previous prime is 12728231. The next prime is 12728237. The reversal of 12728232 is 23282721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12728196 and 12728205.

It is not an unprimeable number, because it can be changed into a prime (12728231) 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 23 ways as a sum of consecutive naturals, for example, 25893 + ... + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (405650).

Almost surely, 2^12728232 is an apocalyptic number.

12728232 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 12728232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19471200).

12728232 is an abundant number, since it is smaller than the sum of its proper divisors (26214168).

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

12728232 is a wasteful number, since it uses less digits than its factorization.

12728232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12728232 is about 3567.6647824592. The cubic root of 12728232 is about 233.4834100281.

The spelling of 12728232 in words is "twelve million, seven hundred twenty-eight thousand, two hundred thirty-two".