9827887104 has 432 divisors, whose sum is σ = 34399179360. Its totient is φ = 2647572480.

The previous prime is 9827887103. The next prime is 9827887117. The reversal of 9827887104 is 4017887289.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9827887103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46577559 + ... + 46577769.

It is an arithmetic number, because the mean of its divisors is an integer number (79627730).

Almost surely, 2^9827887104 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 9827887104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199589680).

9827887104 is an abundant number, since it is smaller than the sum of its proper divisors (24571292256).

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

9827887104 is a wasteful number, since it uses less digits than its factorization.

9827887104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 9827887104 is about 99135.7004514519. The cubic root of 9827887104 is about 2142.0028926564.

The spelling of 9827887104 in words is "nine billion, eight hundred twenty-seven million, eight hundred eighty-seven thousand, one hundred four".