228416 has 28 divisors (see below), whose sum is σ = 469392. Its totient is φ = 110208.

The previous prime is 228409. The next prime is 228419. The reversal of 228416 is 614822.

Its product of digits (768) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 228391 and 228400.

It is not an unprimeable number, because it can be changed into a prime (228419) by changing a digit.

228416 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, 2711 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (16764).

2²²⁸⁴¹⁶ 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 228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234696).

228416 is an abundant number, since it is smaller than the sum of its proper divisors (240976).

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

228416 is an equidigital number, since it uses as much as digits as its factorization.

228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 228416 is about 477.9288649998. The cubic root of 228416 is about 61.1282797186.

The spelling of 228416 in words is "two hundred twenty-eight thousand, four hundred sixteen".