223291728 has 240 divisors, whose sum is σ = 740952576. Its totient is φ = 64437120.

The previous prime is 223291693. The next prime is 223291777. The reversal of 223291728 is 827192322.

It is a super-3 number, since 3×223291728³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223291692 and 223291701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983551 + ... + 983777.

Almost surely, 2^223291728 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 223291728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370476288).

223291728 is an abundant number, since it is smaller than the sum of its proper divisors (517660848).

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

223291728 is a wasteful number, since it uses less digits than its factorization.

223291728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 223291728 is about 14942.9491065184. The cubic root of 223291728 is about 606.6770200436.

The spelling of 223291728 in words is "two hundred twenty-three million, two hundred ninety-one thousand, seven hundred twenty-eight".