9828448289 has 16 divisors (see below), whose sum is σ = 11718867456. Its totient is φ = 8138092800.

The previous prime is 9828448277. The next prime is 9828448309.

9828448289 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 9828448289 - 2²⁰ = 9827399713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9828448249) 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 15 ways as a sum of consecutive naturals, for example, 841922 + ... + 853515.

It is an arithmetic number, because the mean of its divisors is an integer number (732429216).

Almost surely, 2^9828448289 is an apocalyptic number.

It is an amenable number.

9828448289 is a deficient number, since it is larger than the sum of its proper divisors (1890419167).

9828448289 is a wasteful number, since it uses less digits than its factorization.

9828448289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695496.

The product of its digits is 21233664, while the sum is 62.

The square root of 9828448289 is about 99138.5307990793. The cubic root of 9828448289 is about 2142.0436622543.

The spelling of 9828448289 in words is "nine billion, eight hundred twenty-eight million, four hundred forty-eight thousand, two hundred eighty-nine".