287894880 has 360 divisors, whose sum is σ = 1216352592. Its totient is φ = 60742656.

The previous prime is 287894869. The next prime is 287894899. The reversal of 287894880 is 88498782.

287894880 is a `hidden beast` number, since 2 + 87 + 89 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22145754 + ... + 22145766.

Almost surely, 2^287894880 is an apocalyptic number.

287894880 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 287894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608176296).

287894880 is an abundant number, since it is smaller than the sum of its proper divisors (928457712).

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

287894880 is an equidigital number, since it uses as much as digits as its factorization.

287894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 287894880 is about 16967.4653381111. The cubic root of 287894880 is about 660.3050931050.

The spelling of 287894880 in words is "two hundred eighty-seven million, eight hundred ninety-four thousand, eight hundred eighty".