285249888 has 288 divisors, whose sum is σ = 1066141440. Its totient is φ = 70087680.

The previous prime is 285249883. The next prime is 285249911. The reversal of 285249888 is 888942582.

It is a happy number.

285249888 is a `hidden beast` number, since 28 + 52 + 498 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285249883) 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 47 ways as a sum of consecutive naturals, for example, 421006 + ... + 421682.

It is an arithmetic number, because the mean of its divisors is an integer number (3701880).

Almost surely, 2^285249888 is an apocalyptic number.

285249888 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 285249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533070720).

285249888 is an abundant number, since it is smaller than the sum of its proper divisors (780891552).

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

285249888 is a wasteful number, since it uses less digits than its factorization.

285249888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 285249888 is about 16889.3424383544. The cubic root of 285249888 is about 658.2767164827.

The spelling of 285249888 in words is "two hundred eighty-five million, two hundred forty-nine thousand, eight hundred eighty-eight".