8628867072 has 468 divisors, whose sum is σ = 30808939356. Its totient is φ = 2312110080.

The previous prime is 8628867053. The next prime is 8628867073. The reversal of 8628867072 is 2707688268.

8628867072 is a `hidden beast` number, since 8 + 628 + 8 + 6 + 7 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6287855616 + 2341011456 = 79296^2 + 48384^2 .

It is not an unprimeable number, because it can be changed into a prime (8628867073) 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, 30707572 + ... + 30707852.

It is an arithmetic number, because the mean of its divisors is an integer number (65831067).

Almost surely, 2^8628867072 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 8628867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15404469678).

8628867072 is an abundant number, since it is smaller than the sum of its proper divisors (22180072284).

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

8628867072 is a wasteful number, since it uses less digits than its factorization.

8628867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 8628867072 is about 92891.6953876933. The cubic root of 8628867072 is about 2051.0894127910.

The spelling of 8628867072 in words is "eight billion, six hundred twenty-eight million, eight hundred sixty-seven thousand, seventy-two".