9935328 has 96 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 2889216.

The previous prime is 9935323. The next prime is 9935381. The reversal of 9935328 is 8235399.

9935328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9935323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23503 + ... + 23921.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 2^9935328 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 9935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

9935328 is an abundant number, since it is smaller than the sum of its proper divisors (19699872).

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

9935328 is a wasteful number, since it uses less digits than its factorization.

9935328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 9935328 is about 3152.0355327946. The cubic root of 9935328 is about 214.9780255169.

The spelling of 9935328 in words is "nine million, nine hundred thirty-five thousand, three hundred twenty-eight".