9705961728 has 360 divisors, whose sum is σ = 30913521408. Its totient is φ = 3021815808.

The previous prime is 9705961703. The next prime is 9705961781. The reversal of 9705961728 is 8271695079.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22415400 + ... + 22415832.

Almost surely, 2^9705961728 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 9705961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456760704).

9705961728 is an abundant number, since it is smaller than the sum of its proper divisors (21207559680).

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

9705961728 is a wasteful number, since it uses less digits than its factorization.

9705961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9705961728 is about 98518.8394572327. The cubic root of 9705961728 is about 2133.1080671864.

The spelling of 9705961728 in words is "nine billion, seven hundred five million, nine hundred sixty-one thousand, seven hundred twenty-eight".