9728144418279 has 16 divisors (see below), whose sum is σ = 14848021578752. Its totient is φ = 5549871243168.

The previous prime is 9728144418227. The next prime is 9728144418301.

It is a happy number.

9728144418279 is nontrivially palindromic in base 10.

9728144418279 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9728144418279 - 2⁹ = 9728144417767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728144418079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377837839 + ... + 377863584.

It is an arithmetic number, because the mean of its divisors is an integer number (928001348672).

Almost surely, 2^{9728144418279} is an apocalyptic number.

9728144418279 is a deficient number, since it is larger than the sum of its proper divisors (5119877160473).

9728144418279 is a wasteful number, since it uses less digits than its factorization.

9728144418279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755702046.

The product of its digits is 65028096, while the sum is 66.

The spelling of 9728144418279 in words is "nine trillion, seven hundred twenty-eight billion, one hundred forty-four million, four hundred eighteen thousand, two hundred seventy-nine".