8607872728 has 144 divisors (see below), whose sum is σ = 21176270640. Its totient is φ = 3245235840.

The previous prime is 8607872723. The next prime is 8607872747. The reversal of 8607872728 is 8272787068.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8607872723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31763233 + ... + 31763503.

It is an arithmetic number, because the mean of its divisors is an integer number (147057435).

Almost surely, 2^8607872728 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 8607872728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588135320).

8607872728 is an abundant number, since it is smaller than the sum of its proper divisors (12568397912).

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

8607872728 is a wasteful number, since it uses less digits than its factorization.

8607872728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 55.

The square root of 8607872728 is about 92778.6221497172. The cubic root of 8607872728 is about 2049.4246037710.

The spelling of 8607872728 in words is "eight billion, six hundred seven million, eight hundred seventy-two thousand, seven hundred twenty-eight".