285285120 has 72 divisors (see below), whose sum is σ = 911141616. Its totient is φ = 76075008.

The previous prime is 285285113. The next prime is 285285127. The reversal of 285285120 is 21582582.

It is an interprime number because it is at equal distance from previous prime (285285113) and next prime (285285127).

It is not an unprimeable number, because it can be changed into a prime (285285127) 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 7 ways as a sum of consecutive naturals, for example, 33307 + ... + 40986.

Almost surely, 2^285285120 is an apocalyptic number.

285285120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285285120 is an abundant number, since it is smaller than the sum of its proper divisors (625856496).

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

285285120 is an equidigital number, since it uses as much as digits as its factorization.

285285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74317 (or 74303 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 285285120 is about 16890.3854307710. The cubic root of 285285120 is about 658.3038172243.

The spelling of 285285120 in words is "two hundred eighty-five million, two hundred eighty-five thousand, one hundred twenty".