8705284272 has 100 divisors (see below), whose sum is σ = 25365986840. Its totient is φ = 2858451552.

The previous prime is 8705284243. The next prime is 8705284297. The reversal of 8705284272 is 2724825078.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8705284272 is a `hidden beast` number, since 87 + 0 + 528 + 42 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129929583 + ... + 129929649.

Almost surely, 2^8705284272 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 8705284272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12682993420).

8705284272 is an abundant number, since it is smaller than the sum of its proper divisors (16660702568).

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

8705284272 is an frugal number, since it uses more digits than its factorization.

8705284272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 8705284272 is about 93302.1129021203. The cubic root of 8705284272 is about 2057.1264386586.

The spelling of 8705284272 in words is "eight billion, seven hundred five million, two hundred eighty-four thousand, two hundred seventy-two".