8265885628 has 192 divisors, whose sum is σ = 20592230400. Its totient is φ = 2795938560.

The previous prime is 8265885623. The next prime is 8265885637.

It is a happy number.

8265885628 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8265885623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13617301 + ... + 13617907.

It is an arithmetic number, because the mean of its divisors is an integer number (107251200).

Almost surely, 2^8265885628 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 8265885628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296115200).

8265885628 is an abundant number, since it is smaller than the sum of its proper divisors (12326344772).

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

8265885628 is a wasteful number, since it uses less digits than its factorization.

8265885628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 58.

The square root of 8265885628 is about 90916.9160717630. The cubic root of 8265885628 is about 2021.9161007113.

It can be divided in two parts, 8 and 265885628, that added together give a square (265885636 = 16306²).

The spelling of 8265885628 in words is "eight billion, two hundred sixty-five million, eight hundred eighty-five thousand, six hundred twenty-eight".