8905288500 has 192 divisors, whose sum is σ = 30509256960. Its totient is φ = 2234995200.

The previous prime is 8905288493. The next prime is 8905288537. The reversal of 8905288500 is 58825098.

8905288500 is a `hidden beast` number, since 8 + 90 + 52 + 8 + 8 + 500 = 666.

8905288500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210099 + ... + 248901.

It is an arithmetic number, because the mean of its divisors is an integer number (158902380).

Almost surely, 2^8905288500 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 8905288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15254628480).

8905288500 is an abundant number, since it is smaller than the sum of its proper divisors (21603968460).

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

8905288500 is a wasteful number, since it uses less digits than its factorization.

8905288500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38848 (or 38830 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 8905288500 is about 94367.8361519432. The cubic root of 8905288500 is about 2072.7614897713.

The spelling of 8905288500 in words is "eight billion, nine hundred five million, two hundred eighty-eight thousand, five hundred".