12082728 has 128 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 3184896.

The previous prime is 12082717. The next prime is 12082753. The reversal of 12082728 is 82728021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12082695 and 12082704.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 204763 + ... + 204821.

It is an arithmetic number, because the mean of its divisors is an integer number (291600).

Almost surely, 2^12082728 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 12082728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

12082728 is an abundant number, since it is smaller than the sum of its proper divisors (25242072).

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

12082728 is a wasteful number, since it uses less digits than its factorization.

12082728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12082728 is about 3476.0218641430. The cubic root of 12082728 is about 229.4677547835.

The spelling of 12082728 in words is "twelve million, eighty-two thousand, seven hundred twenty-eight".