285032880 has 480 divisors, whose sum is σ = 1159479360. Its totient is φ = 61931520.

The previous prime is 285032843. The next prime is 285032903. The reversal of 285032880 is 88230582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3904524 + ... + 3904596.

It is an arithmetic number, because the mean of its divisors is an integer number (2415582).

Almost surely, 2^285032880 is an apocalyptic number.

285032880 is a gapful number since it is divisible by the number (20) 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 285032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579739680).

285032880 is an abundant number, since it is smaller than the sum of its proper divisors (874446480).

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

285032880 is a wasteful number, since it uses less digits than its factorization.

285032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 285032880 is about 16882.9168096037. The cubic root of 285032880 is about 658.1097429384.

The spelling of 285032880 in words is "two hundred eighty-five million, thirty-two thousand, eight hundred eighty".