9805105728 has 140 divisors (see below), whose sum is σ = 31707898992. Its totient is φ = 2971226880.

The previous prime is 9805105727. The next prime is 9805105729. The reversal of 9805105728 is 8275015089.

It is a happy number.

9805105728 is a `hidden beast` number, since 9 + 80 + 510 + 57 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9805105727) and next prime (9805105729).

It is a super-2 number, since 2×9805105728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9805105727) 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 19 ways as a sum of consecutive naturals, for example, 28950 + ... + 142997.

Almost surely, 2^9805105728 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 9805105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853949496).

9805105728 is an abundant number, since it is smaller than the sum of its proper divisors (21902793264).

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

9805105728 is a wasteful number, since it uses less digits than its factorization.

9805105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171982 (or 171963 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 9805105728 is about 99020.7338288300. The cubic root of 9805105728 is about 2140.3465336863.

The spelling of 9805105728 in words is "nine billion, eight hundred five million, one hundred five thousand, seven hundred twenty-eight".