9828340800 has 84 divisors (see below), whose sum is σ = 32245163856. Its totient is φ = 2620889600.

The previous prime is 9828340799. The next prime is 9828340811. The reversal of 9828340800 is 80438289.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1018986 + ... + 1028585.

Almost surely, 2^9828340800 is an apocalyptic number.

It is an amenable number.

9828340800 is an abundant number, since it is smaller than the sum of its proper divisors (22416823056).

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

9828340800 is a wasteful number, since it uses less digits than its factorization.

9828340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047596 (or 2047581 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 9828340800 is about 99137.9886824420. The cubic root of 9828340800 is about 2142.0358533929.

The spelling of 9828340800 in words is "nine billion, eight hundred twenty-eight million, three hundred forty thousand, eight hundred".