285714432 has 96 divisors (see below), whose sum is σ = 846518400. Its totient is φ = 95219712.

The previous prime is 285714421. The next prime is 285714433. The reversal of 285714432 is 234417582.

It is a happy number.

285714432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285714433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52713 + ... + 57879.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^285714432 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 285714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423259200).

285714432 is an abundant number, since it is smaller than the sum of its proper divisors (560803968).

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

285714432 is an equidigital number, since it uses as much as digits as its factorization.

285714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5172 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 285714432 is about 16903.0894217596. The cubic root of 285714432 is about 658.6338684152.

It can be divided in two parts, 285714 and 432, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 285714432 in words is "two hundred eighty-five million, seven hundred fourteen thousand, four hundred thirty-two".