9892892500 has 90 divisors (see below), whose sum is σ = 21904421154. Its totient is φ = 3908232000.

The previous prime is 9892892483. The next prime is 9892892509. The reversal of 9892892500 is 52982989.

It is a happy number.

9892892500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 3667998096 + 6224894404 = 60564^2 + 78898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9892892509) 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 29 ways as a sum of consecutive naturals, for example, 26522314 + ... + 26522686.

Almost surely, 2^9892892500 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 9892892500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952210577).

9892892500 is an abundant number, since it is smaller than the sum of its proper divisors (12011528654).

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

9892892500 is a wasteful number, since it uses less digits than its factorization.

9892892500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The square root of 9892892500 is about 99463.0207665140. The cubic root of 9892892500 is about 2146.7151930935.

The spelling of 9892892500 in words is "nine billion, eight hundred ninety-two million, eight hundred ninety-two thousand, five hundred".