267228 has 36 divisors (see below), whose sum is σ = 728728. Its totient is φ = 82080.

The previous prime is 267227. The next prime is 267229. The reversal of 267228 is 822762.

It is an interprime number because it is at equal distance from previous prime (267227) and next prime (267229).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 753.

2²⁶⁷²²⁸ 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 267228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364364).

267228 is an abundant number, since it is smaller than the sum of its proper divisors (461500).

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

267228 is a wasteful number, since it uses less digits than its factorization.

267228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 267228 is about 516.9410024364. The cubic root of 267228 is about 64.4110907689.

The spelling of 267228 in words is "two hundred sixty-seven thousand, two hundred twenty-eight".