9803485728 has 240 divisors, whose sum is σ = 30563046360. Its totient is φ = 3077222400.

The previous prime is 9803485723. The next prime is 9803485729. The reversal of 9803485728 is 8275843089.

It is a happy number.

9803485728 is a `hidden beast` number, since 98 + 0 + 3 + 485 + 72 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3627411984 + 6176073744 = 60228^2 + 78588^2 .

It is a super-2 number, since 2×9803485728² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9803485723) 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 39 ways as a sum of consecutive naturals, for example, 3080298 + ... + 3083478.

Almost surely, 2^9803485728 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 9803485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281523180).

9803485728 is an abundant number, since it is smaller than the sum of its proper divisors (20759560632).

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

9803485728 is a wasteful number, since it uses less digits than its factorization.

9803485728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 9803485728 is about 99012.5533859217. The cubic root of 9803485728 is about 2140.2286511443.

The spelling of 9803485728 in words is "nine billion, eight hundred three million, four hundred eighty-five thousand, seven hundred twenty-eight".