10442728320 has 256 divisors, whose sum is σ = 36249984000. Its totient is φ = 2546933760.

The previous prime is 10442728297. The next prime is 10442728333. The reversal of 10442728320 is 2382724401.

It is a happy number.

10442728320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052985 + ... + 1062855.

It is an arithmetic number, because the mean of its divisors is an integer number (141601500).

Almost surely, 2^10442728320 is an apocalyptic number.

10442728320 is a gapful number since it is divisible by the number (10) 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 10442728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124992000).

10442728320 is an abundant number, since it is smaller than the sum of its proper divisors (25807255680).

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

10442728320 is a wasteful number, since it uses less digits than its factorization.

10442728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 10442728320 in words is "ten billion, four hundred forty-two million, seven hundred twenty-eight thousand, three hundred twenty".