8028319488 has 288 divisors, whose sum is σ = 25619005440. Its totient is φ = 2183639040.

The previous prime is 8028319477. The next prime is 8028319499. The reversal of 8028319488 is 8849138208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8028319477) and next prime (8028319499).

It is a self number, because there is not a number n which added to its sum of digits gives 8028319488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11165593 + ... + 11166311.

It is an arithmetic number, because the mean of its divisors is an integer number (88954880).

Almost surely, 2^8028319488 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 8028319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809502720).

8028319488 is an abundant number, since it is smaller than the sum of its proper divisors (17590685952).

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

8028319488 is a wasteful number, since it uses less digits than its factorization.

8028319488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The square root of 8028319488 is about 89600.8899955798. The cubic root of 8028319488 is about 2002.3571780976.

The spelling of 8028319488 in words is "eight billion, twenty-eight million, three hundred nineteen thousand, four hundred eighty-eight".