287282298240 has 2304 divisors, whose sum is σ = 1344413790720. Its totient is φ = 57187565568.

The previous prime is 287282298229. The next prime is 287282298269. The reversal of 287282298240 is 42892282782.

287282298240 is a `hidden beast` number, since 287 + 28 + 229 + 82 + 40 = 666.

It is a super-4 number, since 4×287282298240⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6680983659 + ... + 6680983701.

It is an arithmetic number, because the mean of its divisors is an integer number (583512930).

Almost surely, 2^287282298240 is an apocalyptic number.

287282298240 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 287282298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672206895360).

287282298240 is an abundant number, since it is smaller than the sum of its proper divisors (1057131492480).

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

287282298240 is a wasteful number, since it uses less digits than its factorization.

287282298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 287282298240 in words is "two hundred eighty-seven billion, two hundred eighty-two million, two hundred ninety-eight thousand, two hundred forty".