12382428940728 has 256 divisors, whose sum is σ = 40896495129600. Its totient is φ = 3024682352640.

The previous prime is 12382428940727. The next prime is 12382428940793. The reversal of 12382428940728 is 82704982428321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12382428940727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40594608 + ... + 40898496.

It is an arithmetic number, because the mean of its divisors is an integer number (159751934100).

Almost surely, 2^{12382428940728} 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 12382428940728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20448247564800).

12382428940728 is an abundant number, since it is smaller than the sum of its proper divisors (28514066188872).

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

12382428940728 is a wasteful number, since it uses less digits than its factorization.

12382428940728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305230 (or 305226 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 12382428940728 in words is "twelve trillion, three hundred eighty-two billion, four hundred twenty-eight million, nine hundred forty thousand, seven hundred twenty-eight".