8228882592 has 288 divisors, whose sum is σ = 28193937408. Its totient is φ = 2225760768.

The previous prime is 8228882591. The next prime is 8228882593. The reversal of 8228882592 is 2952888228.

It is an interprime number because it is at equal distance from previous prime (8228882591) and next prime (8228882593).

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

It is not an unprimeable number, because it can be changed into a prime (8228882591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4775043 + ... + 4776765.

It is an arithmetic number, because the mean of its divisors is an integer number (97895616).

Almost surely, 2^8228882592 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 8228882592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14096968704).

8228882592 is an abundant number, since it is smaller than the sum of its proper divisors (19965054816).

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

8228882592 is a wasteful number, since it uses less digits than its factorization.

8228882592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1861 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 8228882592 is about 90713.1886331861. The cubic root of 8228882592 is about 2018.8944864114.

The spelling of 8228882592 in words is "eight billion, two hundred twenty-eight million, eight hundred eighty-two thousand, five hundred ninety-two".