228984 has 64 divisors (see below), whose sum is σ = 691200. Its totient is φ = 61824.

The previous prime is 228983. The next prime is 228989. The reversal of 228984 is 489822.

228984 = T₄₁ + T₄₂ + ... + T₁₁₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4849 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2²²⁸⁹⁸⁴ is an apocalyptic number.

228984 is a gapful number since it is divisible by the number (24) 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 228984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345600).

228984 is an abundant number, since it is smaller than the sum of its proper divisors (462216).

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

228984 is a wasteful number, since it uses less digits than its factorization.

228984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 88 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 228984 is about 478.5227267330. The cubic root of 228984 is about 61.1789068237.

The spelling of 228984 in words is "two hundred twenty-eight thousand, nine hundred eighty-four".