9835874928 has 320 divisors, whose sum is σ = 33186447360. Its totient is φ = 2758060800.

The previous prime is 9835874921. The next prime is 9835874999. The reversal of 9835874928 is 8294785389.

9835874928 is a `hidden beast` number, since 9 + 8 + 3 + 587 + 49 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9835874921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3386725 + ... + 3389627.

It is an arithmetic number, because the mean of its divisors is an integer number (103707648).

Almost surely, 2^9835874928 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 9835874928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

9835874928 is an abundant number, since it is smaller than the sum of its proper divisors (23350572432).

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

9835874928 is a wasteful number, since it uses less digits than its factorization.

9835874928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 9835874928 is about 99175.9795918346. The cubic root of 9835874928 is about 2142.5830549550.

The spelling of 9835874928 in words is "nine billion, eight hundred thirty-five million, eight hundred seventy-four thousand, nine hundred twenty-eight".