428584 has 24 divisors (see below), whose sum is σ = 872910. Its totient is φ = 197184.

The previous prime is 428579. The next prime is 428629. The reversal of 428584 is 485824.

It can be written as a sum of positive squares in 3 ways, for example, as 103684 + 324900 = 322^2 + 570^2 .

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 1194 + ... + 1510.

2⁴²⁸⁵⁸⁴ 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 428584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436455).

428584 is an abundant number, since it is smaller than the sum of its proper divisors (444326).

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

428584 is a wasteful number, since it uses less digits than its factorization.

428584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The square root of 428584 is about 654.6632722247. The cubic root of 428584 is about 75.3954812988.

The spelling of 428584 in words is "four hundred twenty-eight thousand, five hundred eighty-four".