9802821952 has 112 divisors (see below), whose sum is σ = 24322015872. Its totient is φ = 3808327680.

The previous prime is 9802821949. The next prime is 9802821967. The reversal of 9802821952 is 2591282089.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9802821952² (a number of 21 digits) contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1835478 + ... + 1840810.

It is an arithmetic number, because the mean of its divisors is an integer number (217160856).

Almost surely, 2^9802821952 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 9802821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12161007936).

9802821952 is an abundant number, since it is smaller than the sum of its proper divisors (14519193920).

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

9802821952 is a wasteful number, since it uses less digits than its factorization.

9802821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 9802821952 is about 99009.2013501776. The cubic root of 9802821952 is about 2140.1803464047.

The spelling of 9802821952 in words is "nine billion, eight hundred two million, eight hundred twenty-one thousand, nine hundred fifty-two".