180228 has 24 divisors (see below), whose sum is σ = 439488. Its totient is φ = 57376.

The previous prime is 180221. The next prime is 180233. The reversal of 180228 is 822081.

It is not an unprimeable number, because it can be changed into a prime (180221) by changing a digit.

180228 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 7 ways as a sum of consecutive naturals, for example, 51 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (18312).

2¹⁸⁰²²⁸ 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 180228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219744).

180228 is an abundant number, since it is smaller than the sum of its proper divisors (259260).

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

180228 is a wasteful number, since it uses less digits than its factorization.

180228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 180228 is about 424.5326842541. The cubic root of 180228 is about 56.4859912537.

It can be divided in two parts, 1802 and 28, that added together give a triangular number (1830 = T₆₀).

The spelling of 180228 in words is "one hundred eighty thousand, two hundred twenty-eight".