285393920 has 88 divisors (see below), whose sum is σ = 782510784. Its totient is φ = 97837056.

The previous prime is 285393893. The next prime is 285393947. The reversal of 285393920 is 29393582.

285393920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (285393893) and next prime (285393947).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31859 + ... + 39821.

It is an arithmetic number, because the mean of its divisors is an integer number (8892168).

Almost surely, 2^285393920 is an apocalyptic number.

285393920 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 285393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391255392).

285393920 is an abundant number, since it is smaller than the sum of its proper divisors (497116864).

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

285393920 is an equidigital number, since it uses as much as digits as its factorization.

285393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7995 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 285393920 is about 16893.6058909873. The cubic root of 285393920 is about 658.3874929895.

The spelling of 285393920 in words is "two hundred eighty-five million, three hundred ninety-three thousand, nine hundred twenty".