285262992 has 320 divisors, whose sum is σ = 1028505600. Its totient is φ = 73820160.

The previous prime is 285262981. The next prime is 285262993. The reversal of 285262992 is 299262582.

It is not an unprimeable number, because it can be changed into a prime (285262993) 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 63 ways as a sum of consecutive naturals, for example, 1593559 + ... + 1593737.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^285262992 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 285262992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514252800).

285262992 is an abundant number, since it is smaller than the sum of its proper divisors (743242608).

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

285262992 is a wasteful number, since it uses less digits than its factorization.

285262992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 285262992 is about 16889.7303708496. The cubic root of 285262992 is about 658.2867964469.

It can be divided in two parts, 2852629 and 92, that added together give a square (2852721 = 1689²).

The spelling of 285262992 in words is "two hundred eighty-five million, two hundred sixty-two thousand, nine hundred ninety-two".