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9328 = 241153

9328 has 20 divisors (see below), whose sum is σ = 20088. Its totient is φ = 4160.

The previous prime is 9323. The next prime is 9337. The reversal of 9328 is 8239.

9328 divided by its sum of digits (22) gives a palindrome (424).

Subtracting from 9328 its reverse (8239), we obtain a square (1089 = 332).

It can be divided in two parts, 93 and 28, that added together give a palindrome (121).

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (432) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 9299 and 9308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150 + ... + 202.

29328 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 9328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10044).

9328 is an abundant number, since it is smaller than the sum of its proper divisors (10760).

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

9328 is a wasteful number, since it uses less digits than its factorization.

9328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 9328 is about 96.5815717412. The cubic root of 9328 is about 21.0505208410.

The spelling of 9328 in words is "nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328