9788728320 has 264 divisors, whose sum is σ = 38764350144. Its totient is φ = 2237349888.

The previous prime is 9788728319. The next prime is 9788728321. The reversal of 9788728320 is 238278879.

It is an interprime number because it is at equal distance from previous prime (9788728319) and next prime (9788728321).

It is not an unprimeable number, because it can be changed into a prime (9788728321) 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 23 ways as a sum of consecutive naturals, for example, 307387 + ... + 337733.

Almost surely, 2^9788728320 is an apocalyptic number.

9788728320 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 9788728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382175072).

9788728320 is an abundant number, since it is smaller than the sum of its proper divisors (28975621824).

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

9788728320 is a wasteful number, since it uses less digits than its factorization.

9788728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30385 (or 30364 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 9788728320 is about 98938.0024055469. The cubic root of 9788728320 is about 2139.1542003584.

The spelling of 9788728320 in words is "nine billion, seven hundred eighty-eight million, seven hundred twenty-eight thousand, three hundred twenty".