228000 has 96 divisors (see below), whose sum is σ = 786240. Its totient is φ = 57600.

The previous prime is 227993. The next prime is 228013. The reversal of 228000 is 822.

228000 is nontrivially palindromic in base 9.

228000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

228000 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 15 ways as a sum of consecutive naturals, for example, 11991 + ... + 12009.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2²²⁸⁰⁰⁰ is an apocalyptic number.

228000 is a gapful number since it is divisible by the number (20) 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 228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

228000 is an abundant number, since it is smaller than the sum of its proper divisors (558240).

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

228000 is a wasteful number, since it uses less digits than its factorization.

228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 228000 is about 477.4934554525. The cubic root of 228000 is about 61.0911474429.

Adding to 228000 its reverse (822), we get a palindrome (228822).

The spelling of 228000 in words is "two hundred twenty-eight thousand".