9805328 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 4098048.

The previous prime is 9805309. The next prime is 9805343. The reversal of 9805328 is 8235089.

It is a super-2 number, since 2×9805328² = 192288914375168, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166163 + ... + 166221.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^9805328 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 9805328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

9805328 is an abundant number, since it is smaller than the sum of its proper divisors (12693232).

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

9805328 is a wasteful number, since it uses less digits than its factorization.

9805328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 9805328 is about 3131.3460364514. The cubic root of 9805328 is about 214.0362706740.

The spelling of 9805328 in words is "nine million, eight hundred five thousand, three hundred twenty-eight".