285259968 has 210 divisors, whose sum is σ = 984532956. Its totient is φ = 81430272.

The previous prime is 285259963. The next prime is 285259969. The reversal of 285259968 is 869952582.

285259968 is a `hidden beast` number, since 28 + 525 + 9 + 96 + 8 = 666.

It is a super-2 number, since 2×285259968² = 162746498686722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (285259963) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253455 + ... + 254577.

Almost surely, 2^285259968 is an apocalyptic number.

285259968 is a gapful number since it is divisible by the number (28) 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 285259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492266478).

285259968 is an abundant number, since it is smaller than the sum of its proper divisors (699272988).

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

285259968 is a wasteful number, since it uses less digits than its factorization.

285259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1135 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 285259968 is about 16889.6408487570. The cubic root of 285259968 is about 658.2844703288.

The spelling of 285259968 in words is "two hundred eighty-five million, two hundred fifty-nine thousand, nine hundred sixty-eight".