228636 has 48 divisors (see below), whose sum is σ = 621600. Its totient is φ = 72576.

The previous prime is 228619. The next prime is 228637. The reversal of 228636 is 636822.

228636 is a `hidden beast` number, since 2 + 28 + 636 = 666.

228636 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3096 + ... + 3168.

It is an arithmetic number, because the mean of its divisors is an integer number (12950).

2²²⁸⁶³⁶ 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 228636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310800).

228636 is an abundant number, since it is smaller than the sum of its proper divisors (392964).

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

228636 is a wasteful number, since it uses less digits than its factorization.

228636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 228636 is about 478.1589693815. The cubic root of 228636 is about 61.1478987562.

The spelling of 228636 in words is "two hundred twenty-eight thousand, six hundred thirty-six".