285088128 has 192 divisors, whose sum is σ = 860129280. Its totient is φ = 83466240.

The previous prime is 285088117. The next prime is 285088163. The reversal of 285088128 is 821880582.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 285088128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1492513 + ... + 1492703.

It is an arithmetic number, because the mean of its divisors is an integer number (4479840).

Almost surely, 2^285088128 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 285088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430064640).

285088128 is an abundant number, since it is smaller than the sum of its proper divisors (575041152).

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

285088128 is a wasteful number, since it uses less digits than its factorization.

285088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 285088128 is about 16884.5529404838. The cubic root of 285088128 is about 658.1522607211.

The spelling of 285088128 in words is "two hundred eighty-five million, eighty-eight thousand, one hundred twenty-eight".