285968232 has 192 divisors, whose sum is σ = 899458560. Its totient is φ = 84369600.

The previous prime is 285968219. The next prime is 285968279. The reversal of 285968232 is 232869582.

It is a happy number.

285968232 is a `hidden beast` number, since 28 + 596 + 8 + 2 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919357 + ... + 919667.

It is an arithmetic number, because the mean of its divisors is an integer number (4684680).

Almost surely, 2^285968232 is an apocalyptic number.

285968232 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 285968232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449729280).

285968232 is an abundant number, since it is smaller than the sum of its proper divisors (613490328).

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

285968232 is a wasteful number, since it uses less digits than its factorization.

285968232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 285968232 is about 16910.5952585945. The cubic root of 285968232 is about 658.8288320864.

The spelling of 285968232 in words is "two hundred eighty-five million, nine hundred sixty-eight thousand, two hundred thirty-two".