285678880 has 96 divisors (see below), whose sum is σ = 721115136. Its totient is φ = 106573824.

The previous prime is 285678859. The next prime is 285678901. The reversal of 285678880 is 88876582.

It is an interprime number because it is at equal distance from previous prime (285678859) and next prime (285678901).

It is a super-2 number, since 2×285678880² = 163224844956108800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345027 + ... + 345853.

It is an arithmetic number, because the mean of its divisors is an integer number (7511616).

Almost surely, 2^285678880 is an apocalyptic number.

285678880 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 285678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360557568).

285678880 is an abundant number, since it is smaller than the sum of its proper divisors (435436256).

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

285678880 is a wasteful number, since it uses less digits than its factorization.

285678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The square root of 285678880 is about 16902.0377469700. The cubic root of 285678880 is about 658.6065489195.

The spelling of 285678880 in words is "two hundred eighty-five million, six hundred seventy-eight thousand, eight hundred eighty".