223728 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 72384.

The previous prime is 223711. The next prime is 223747. The reversal of 223728 is 827322.

It is a Cunningham number, because it is equal to 473²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 223698 and 223707.

It is a congruent number.

It is an unprimeable number.

223728 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 7 ways as a sum of consecutive naturals, for example, 2793 + ... + 2871.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²²³⁷²⁸ 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 223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

223728 is an abundant number, since it is smaller than the sum of its proper divisors (371472).

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

223728 is a wasteful number, since it uses less digits than its factorization.

223728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 223728 is about 472.9989429164. The cubic root of 223728 is about 60.7071875702.

The spelling of 223728 in words is "two hundred twenty-three thousand, seven hundred twenty-eight".