223517728 has 48 divisors (see below), whose sum is σ = 504282240. Its totient is φ = 95533056.

The previous prime is 223517681. The next prime is 223517737. The reversal of 223517728 is 827715322.

223517728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 97200 + ... + 99472.

It is an arithmetic number, because the mean of its divisors is an integer number (10505880).

Almost surely, 2^223517728 is an apocalyptic number.

223517728 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 223517728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252141120).

223517728 is an abundant number, since it is smaller than the sum of its proper divisors (280764512).

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

223517728 is a wasteful number, since it uses less digits than its factorization.

223517728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2721 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 223517728 is about 14950.5092889841. The cubic root of 223517728 is about 606.8816294671.

The spelling of 223517728 in words is "two hundred twenty-three million, five hundred seventeen thousand, seven hundred twenty-eight".