8228360520 has 144 divisors (see below), whose sum is σ = 27412344180. Its totient is φ = 2140554240.

The previous prime is 8228360513. The next prime is 8228360527. The reversal of 8228360520 is 250638228.

8228360520 is a `hidden beast` number, since 8 + 2 + 28 + 3 + 605 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8228360513) and next prime (8228360527).

It can be written as a sum of positive squares in 6 ways, for example, as 66683556 + 8161676964 = 8166^2 + 90342^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8228360527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 598362 + ... + 611958.

Almost surely, 2^8228360520 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 8228360520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706172090).

8228360520 is an abundant number, since it is smaller than the sum of its proper divisors (19183983660).

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

8228360520 is a wasteful number, since it uses less digits than its factorization.

8228360520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13696 (or 13648 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8228360520 is about 90710.3109905373. The cubic root of 8228360520 is about 2018.8517900282.

Adding to 8228360520 its reverse (250638228), we get a palindrome (8478998748).

The spelling of 8228360520 in words is "eight billion, two hundred twenty-eight million, three hundred sixty thousand, five hundred twenty".