9828614880 has 864 divisors, whose sum is σ = 42117776064. Its totient is φ = 2042413056.

The previous prime is 9828614869. The next prime is 9828614897. The reversal of 9828614880 is 884168289.

9828614880 is a `hidden beast` number, since 9 + 82 + 86 + 1 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134638524 + ... + 134638596.

It is an arithmetic number, because the mean of its divisors is an integer number (48747426).

Almost surely, 2^9828614880 is an apocalyptic number.

9828614880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9828614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058888032).

9828614880 is an abundant number, since it is smaller than the sum of its proper divisors (32289161184).

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

9828614880 is a wasteful number, since it uses less digits than its factorization.

9828614880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 9828614880 is about 99139.3709885230. The cubic root of 9828614880 is about 2142.0557646455.

The spelling of 9828614880 in words is "nine billion, eight hundred twenty-eight million, six hundred fourteen thousand, eight hundred eighty".