8982827100 has 360 divisors, whose sum is σ = 32730925920. Its totient is φ = 2114449920.

The previous prime is 8982827093. The next prime is 8982827129. The reversal of 8982827100 is 17282898.

It is a happy number.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2420046 + ... + 2423754.

Almost surely, 2^8982827100 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 8982827100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365462960).

8982827100 is an abundant number, since it is smaller than the sum of its proper divisors (23748098820).

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

8982827100 is a wasteful number, since it uses less digits than its factorization.

8982827100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 8982827100 is about 94777.7774586427. Note that the first 3 decimals coincide. The cubic root of 8982827100 is about 2078.7599780374.

The spelling of 8982827100 in words is "eight billion, nine hundred eighty-two million, eight hundred twenty-seven thousand, one hundred".