228864 has 40 divisors (see below), whose sum is σ = 613800. Its totient is φ = 75776.

The previous prime is 228859. The next prime is 228869. The reversal of 228864 is 468822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228859) and next prime (228869).

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

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 228864.

It is not an unprimeable number, because it can be changed into a prime (228869) by changing a digit.

228864 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, 1462 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2²²⁸⁸⁶⁴ is an apocalyptic number.

228864 is a gapful number since it is divisible by the number (24) 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 228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306900).

228864 is an abundant number, since it is smaller than the sum of its proper divisors (384936).

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

228864 is an equidigital number, since it uses as much as digits as its factorization.

228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 228864 is about 478.3973244072. The cubic root of 228864 is about 61.1682179377.

The spelling of 228864 in words is "two hundred twenty-eight thousand, eight hundred sixty-four".