228732 has 36 divisors (see below), whose sum is σ = 622440. Its totient is φ = 65184.

The previous prime is 228731. The next prime is 228733. The reversal of 228732 is 237822.

It is an interprime number because it is at equal distance from previous prime (228731) and next prime (228733).

It is a d-powerful number, because it can be written as 2⁵ + 2¹³ + 7⁴ + 8⁵ + 3¹¹ + 2¹³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228732.

It is not an unprimeable number, because it can be changed into a prime (228731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2²²⁸⁷³² 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 228732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

228732 is an abundant number, since it is smaller than the sum of its proper divisors (393708).

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

228732 is a wasteful number, since it uses less digits than its factorization.

228732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 228732 is about 478.2593438711. The cubic root of 228732 is about 61.1564558467.

The spelling of 228732 in words is "two hundred twenty-eight thousand, seven hundred thirty-two".