9858282720 has 768 divisors, whose sum is σ = 38919315456. Its totient is φ = 2064384000.

The previous prime is 9858282713. The next prime is 9858282781. The reversal of 9858282720 is 272828589.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87241384 + ... + 87241496.

It is an arithmetic number, because the mean of its divisors is an integer number (50676192).

Almost surely, 2^9858282720 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 9858282720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459657728).

9858282720 is an abundant number, since it is smaller than the sum of its proper divisors (29061032736).

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

9858282720 is a wasteful number, since it uses less digits than its factorization.

9858282720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 9858282720 is about 99288.8851785536. The cubic root of 9858282720 is about 2144.2088768614.

The spelling of 9858282720 in words is "nine billion, eight hundred fifty-eight million, two hundred eighty-two thousand, seven hundred twenty".