363228 has 12 divisors (see below), whose sum is σ = 847560. Its totient is φ = 121072.

The previous prime is 363217. The next prime is 363257. The reversal of 363228 is 822363.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 363198 and 363207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363228.

It is an unprimeable number.

363228 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, 15123 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (70630).

2³⁶³²²⁸ is an apocalyptic number.

It is an amenable number.

363228 is an abundant number, since it is smaller than the sum of its proper divisors (484332).

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

363228 is a wasteful number, since it uses less digits than its factorization.

363228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30276 (or 30274 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 363228 is about 602.6839968010. The cubic root of 363228 is about 71.3498569072.

The spelling of 363228 in words is "three hundred sixty-three thousand, two hundred twenty-eight".