223741728 has 288 divisors, whose sum is σ = 778377600. Its totient is φ = 59609088.

The previous prime is 223741711. The next prime is 223741741. The reversal of 223741728 is 827147322.

223741728 is a `hidden beast` number, since 2 + 237 + 417 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 223741692 and 223741701.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2513908 + ... + 2513996.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^223741728 is an apocalyptic number.

223741728 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 223741728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

223741728 is an abundant number, since it is smaller than the sum of its proper divisors (554635872).

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

223741728 is a wasteful number, since it uses less digits than its factorization.

223741728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 223741728 is about 14957.9987966305. The cubic root of 223741728 is about 607.0842921371.

Adding to 223741728 its sum of digits (36), we get a square (223741764 = 14958²).

The spelling of 223741728 in words is "two hundred twenty-three million, seven hundred forty-one thousand, seven hundred twenty-eight".