285428832 has 144 divisors (see below), whose sum is σ = 825845328. Its totient is φ = 86261760.

The previous prime is 285428789. The next prime is 285428879. The reversal of 285428832 is 238824582.

It is a super-3 number, since 3×285428832³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184232 + ... + 1184472.

It is an arithmetic number, because the mean of its divisors is an integer number (5735037).

Almost surely, 2^285428832 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 285428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412922664).

285428832 is an abundant number, since it is smaller than the sum of its proper divisors (540416496).

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

285428832 is a wasteful number, since it uses less digits than its factorization.

285428832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 332 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 285428832 is about 16894.6391497421. The cubic root of 285428832 is about 658.4143385590.

The spelling of 285428832 in words is "two hundred eighty-five million, four hundred twenty-eight thousand, eight hundred thirty-two".