285752320 has 264 divisors, whose sum is σ = 856890576. Its totient is φ = 90832896.

The previous prime is 285752293. The next prime is 285752323. The reversal of 285752320 is 23257582.

285752320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285752323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4264927 + ... + 4264993.

Almost surely, 2^285752320 is an apocalyptic number.

285752320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428445288).

285752320 is an abundant number, since it is smaller than the sum of its proper divisors (571138256).

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

285752320 is a wasteful number, since it uses less digits than its factorization.

285752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 285752320 is about 16904.2101264744. The cubic root of 285752320 is about 658.6629804868.

The spelling of 285752320 in words is "two hundred eighty-five million, seven hundred fifty-two thousand, three hundred twenty".