9848928960 has 672 divisors, whose sum is σ = 38742762240. Its totient is φ = 2279079936.

The previous prime is 9848928949. The next prime is 9848928967. The reversal of 9848928960 is 698298489.

9848928960 is a `hidden beast` number, since 98 + 489 + 2 + 8 + 9 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (9848928967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51030624 + ... + 51030816.

It is an arithmetic number, because the mean of its divisors is an integer number (57652920).

Almost surely, 2^9848928960 is an apocalyptic number.

9848928960 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 9848928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371381120).

9848928960 is an abundant number, since it is smaller than the sum of its proper divisors (28893833280).

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

9848928960 is a wasteful number, since it uses less digits than its factorization.

9848928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 9848928960 is about 99241.7702381412. The cubic root of 9848928960 is about 2143.5305044219.

It can be divided in two parts, 98489 and 28960, that added together give a square (127449 = 357²).

The spelling of 9848928960 in words is "nine billion, eight hundred forty-eight million, nine hundred twenty-eight thousand, nine hundred sixty".