285813792 has 384 divisors, whose sum is σ = 1012435200. Its totient is φ = 77414400.

The previous prime is 285813791. The next prime is 285813793. The reversal of 285813792 is 297318582.

It is a happy number.

285813792 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 (285813791) and next prime (285813793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285813791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4685442 + ... + 4685502.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 2^285813792 is an apocalyptic number.

285813792 is a gapful number since it is divisible by the number (22) 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 285813792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506217600).

285813792 is an abundant number, since it is smaller than the sum of its proper divisors (726621408).

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

285813792 is a wasteful number, since it uses less digits than its factorization.

285813792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 285813792 is about 16906.0282739619. The cubic root of 285813792 is about 658.7102083655.

The spelling of 285813792 in words is "two hundred eighty-five million, eight hundred thirteen thousand, seven hundred ninety-two".