9487289728 has 64 divisors (see below), whose sum is σ = 21631115520. Its totient is φ = 4060224000.

The previous prime is 9487289723. The next prime is 9487289731. The reversal of 9487289728 is 8279827849.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9487289728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9487289723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658603 + ... + 672853.

It is an arithmetic number, because the mean of its divisors is an integer number (337986180).

Almost surely, 2^9487289728 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 9487289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10815557760).

9487289728 is an abundant number, since it is smaller than the sum of its proper divisors (12143825792).

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

9487289728 is a wasteful number, since it uses less digits than its factorization.

9487289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15015 (or 15003 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 64.

The square root of 9487289728 is about 97402.7193049558. The cubic root of 9487289728 is about 2116.9668360161.

The spelling of 9487289728 in words is "nine billion, four hundred eighty-seven million, two hundred eighty-nine thousand, seven hundred twenty-eight".