293328 has 80 divisors (see below), whose sum is σ = 972160. Its totient is φ = 82944.

The previous prime is 293311. The next prime is 293329. The reversal of 293328 is 823392.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293329) by changing a digit.

293328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2976 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2²⁹³³²⁸ is an apocalyptic number.

293328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486080).

293328 is an abundant number, since it is smaller than the sum of its proper divisors (678832).

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

293328 is a wasteful number, since it uses less digits than its factorization.

293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 293328 is about 541.5976366270. The cubic root of 293328 is about 66.4432968693.

The spelling of 293328 in words is "two hundred ninety-three thousand, three hundred twenty-eight".