227328 has 48 divisors (see below), whose sum is σ = 622440. Its totient is φ = 73728.

The previous prime is 227303. The next prime is 227363. The reversal of 227328 is 823722.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁶ + 3¹⁰ + 7³ + 2¹⁶ + 8⁴ .

Its product of digits (1344) is a multiple of the sum of its prime divisors (42).

It is a junction number, because it is equal to n+sod(n) for n = 227298 and 227307.

It is a congruent number.

It is an unprimeable number.

227328 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 3 ways as a sum of consecutive naturals, for example, 6126 + ... + 6162.

2²²⁷³²⁸ 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 227328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

227328 is an abundant number, since it is smaller than the sum of its proper divisors (395112).

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

227328 is an equidigital number, since it uses as much as digits as its factorization.

227328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

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

The square root of 227328 is about 476.7892616240. The cubic root of 227328 is about 61.0310690068.

It can be divided in two parts, 227 and 328, that added together give a palindrome (555).

The spelling of 227328 in words is "two hundred twenty-seven thousand, three hundred twenty-eight".