285880320 has 416 divisors, whose sum is σ = 1132323840. Its totient is φ = 67829760.

The previous prime is 285880319. The next prime is 285880349. The reversal of 285880320 is 23088582.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082537 + ... + 6082583.

Almost surely, 2^285880320 is an apocalyptic number.

285880320 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 285880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566161920).

285880320 is an abundant number, since it is smaller than the sum of its proper divisors (846443520).

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

285880320 is a wasteful number, since it uses less digits than its factorization.

285880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

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

The square root of 285880320 is about 16907.9957416602. The cubic root of 285880320 is about 658.7613130523.

It can be divided in two parts, 285 and 880320, that multiplied together give a triangular number (250891200 = T₂₂₄₀₀).

The spelling of 285880320 in words is "two hundred eighty-five million, eight hundred eighty thousand, three hundred twenty".