9828448 has 96 divisors (see below), whose sum is σ = 24494400. Its totient is φ = 3784704.

The previous prime is 9828443. The next prime is 9828449. The reversal of 9828448 is 8448289.

Its product of digits (147456) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828443) by changing a digit.

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, 110388 + ... + 110476.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^9828448 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 9828448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247200).

9828448 is an abundant number, since it is smaller than the sum of its proper divisors (14665952).

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

9828448 is a wasteful number, since it uses less digits than its factorization.

9828448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 9828448 is about 3135.0355659865. The cubic root of 9828448 is about 214.2043641259.

The spelling of 9828448 in words is "nine million, eight hundred twenty-eight thousand, four hundred forty-eight".