224728 has 16 divisors (see below), whose sum is σ = 481680. Its totient is φ = 96288.

The previous prime is 224717. The next prime is 224729. The reversal of 224728 is 827422.

224728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224729) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1951 + ... + 2062.

It is an arithmetic number, because the mean of its divisors is an integer number (30105).

2²²⁴⁷²⁸ is an apocalyptic number.

224728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

224728 is an abundant number, since it is smaller than the sum of its proper divisors (256952).

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

224728 is a wasteful number, since it uses less digits than its factorization.

224728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4022 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 224728 is about 474.0548491472. The cubic root of 224728 is about 60.7975010515.

It can be divided in two parts, 22472 and 8, that multiplied together give a square (179776 = 424²).

The spelling of 224728 in words is "two hundred twenty-four thousand, seven hundred twenty-eight".