285328 has 20 divisors (see below), whose sum is σ = 585900. Its totient is φ = 134144.

The previous prime is 285317. The next prime is 285343. The reversal of 285328 is 823582.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 43264 = 492^2 + 208^2 .

It is a d-powerful number, because it can be written as 2¹⁴ + 8³ + 3⁷ + 5 + 2¹⁸ + 8⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 285296 and 285305.

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 3 ways as a sum of consecutive naturals, for example, 253 + ... + 796.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2²⁸⁵³²⁸ is an apocalyptic number.

It is an amenable number.

285328 is an abundant number, since it is smaller than the sum of its proper divisors (300572).

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

285328 is a wasteful number, since it uses less digits than its factorization.

285328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1068 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 285328 is about 534.1610244112. The cubic root of 285328 is about 65.8336797860.

It can be divided in two parts, 28 and 5328, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 285328 in words is "two hundred eighty-five thousand, three hundred twenty-eight".