228816 has 60 divisors (see below), whose sum is σ = 735072. Its totient is φ = 65088.

The previous prime is 228799. The next prime is 228829. The reversal of 228816 is 618822.

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

It is a self number, because there is not a number n which added to its sum of digits gives 228816.

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 11 ways as a sum of consecutive naturals, for example, 895 + ... + 1121.

2²²⁸⁸¹⁶ 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 228816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367536).

228816 is an abundant number, since it is smaller than the sum of its proper divisors (506256).

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

228816 is a wasteful number, since it uses less digits than its factorization.

228816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 228816 is about 478.3471542719. The cubic root of 228816 is about 61.1639413371.

It can be divided in two parts, 2288 and 16, that added together give a square (2304 = 48²).

The spelling of 228816 in words is "two hundred twenty-eight thousand, eight hundred sixteen".