8524828900 has 81 divisors (see below), whose sum is σ = 21535430889. Its totient is φ = 2920582560.

The previous prime is 8524828877. The next prime is 8524828903. The reversal of 8524828900 is 98284258.

The square root of 8524828900 is 92330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3068938404 + 5455890496 = 55398^2 + 73864^2 .

It is not an unprimeable number, because it can be changed into a prime (8524828903) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 6462441 + ... + 6463759.

Almost surely, 2^8524828900 is an apocalyptic number.

8524828900 is the 92330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8524828900

8524828900 is an abundant number, since it is smaller than the sum of its proper divisors (13010601989).

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

8524828900 is a wasteful number, since it uses less digits than its factorization.

8524828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The cubic root of 8524828900 is about 2042.8127370427.

The spelling of 8524828900 in words is "eight billion, five hundred twenty-four million, eight hundred twenty-eight thousand, nine hundred".