8287245792 has 288 divisors, whose sum is σ = 27836512704. Its totient is φ = 2289254400.

The previous prime is 8287245773. The next prime is 8287245817. The reversal of 8287245792 is 2975427828.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17976442 + ... + 17976902.

It is an arithmetic number, because the mean of its divisors is an integer number (96654558).

Almost surely, 2^8287245792 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 8287245792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918256352).

8287245792 is an abundant number, since it is smaller than the sum of its proper divisors (19549266912).

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

8287245792 is a wasteful number, since it uses less digits than its factorization.

8287245792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 8287245792 is about 91034.3110700575. The cubic root of 8287245792 is about 2023.6562373468.

The spelling of 8287245792 in words is "eight billion, two hundred eighty-seven million, two hundred forty-five thousand, seven hundred ninety-two".