9825628350 has 96 divisors (see below), whose sum is σ = 24665921280. Its totient is φ = 2588221440.

The previous prime is 9825628339. The next prime is 9825628357. The reversal of 9825628350 is 538265289.

9825628350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9825628350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9825628357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11880637 + ... + 11881463.

It is an arithmetic number, because the mean of its divisors is an integer number (256936680).

Almost surely, 2^9825628350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9825628350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332960640).

9825628350 is an abundant number, since it is smaller than the sum of its proper divisors (14840292930).

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

9825628350 is a wasteful number, since it uses less digits than its factorization.

9825628350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 9825628350 is about 99124.3075637858. The cubic root of 9825628350 is about 2141.8387804636.

The spelling of 9825628350 in words is "nine billion, eight hundred twenty-five million, six hundred twenty-eight thousand, three hundred fifty".