8228791872 has 252 divisors, whose sum is σ = 27959942556. Its totient is φ = 2306304000.

The previous prime is 8228791861. The next prime is 8228791889. The reversal of 8228791872 is 2781978228.

It can be written as a sum of positive squares in 2 ways, for example, as 7283598336 + 945193536 = 85344^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1493122 + ... + 1498622.

It is an arithmetic number, because the mean of its divisors is an integer number (110952153).

Almost surely, 2^8228791872 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 8228791872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979971278).

8228791872 is an abundant number, since it is smaller than the sum of its proper divisors (19731150684).

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

8228791872 is a wasteful number, since it uses less digits than its factorization.

8228791872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5566 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 8228791872 is about 90712.6885942645. The cubic root of 8228791872 is about 2018.8870672275.

The spelling of 8228791872 in words is "eight billion, two hundred twenty-eight million, seven hundred ninety-one thousand, eight hundred seventy-two".