9728784306 has 96 divisors (see below), whose sum is σ = 22267889280. Its totient is φ = 3063785472.

The previous prime is 9728784269. The next prime is 9728784311. The reversal of 9728784306 is 6034878279.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16860690 + ... + 16861266.

It is an arithmetic number, because the mean of its divisors is an integer number (231957180).

Almost surely, 2^9728784306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728784306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133944640).

9728784306 is an abundant number, since it is smaller than the sum of its proper divisors (12539104974).

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

9728784306 is a wasteful number, since it uses less digits than its factorization.

9728784306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 9728784306 is about 98634.5999434276. The cubic root of 9728784306 is about 2134.7786870472.

The spelling of 9728784306 in words is "nine billion, seven hundred twenty-eight million, seven hundred eighty-four thousand, three hundred six".