428184 has 48 divisors (see below), whose sum is σ = 1224600. Its totient is φ = 134784.

The previous prime is 428177. The next prime is 428221. The reversal of 428184 is 481824.

It is a nude number because it is divisible by every one of its digits.

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 428184.

It is an unprimeable number.

428184 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1212 + ... + 1524.

2⁴²⁸¹⁸⁴ 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 428184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612300).

428184 is an abundant number, since it is smaller than the sum of its proper divisors (796416).

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

428184 is a wasteful number, since it uses less digits than its factorization.

428184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 428184 is about 654.3577003444. The cubic root of 428184 is about 75.3720183139.

The spelling of 428184 in words is "four hundred twenty-eight thousand, one hundred eighty-four".