287001968 has 80 divisors (see below), whose sum is σ = 641958912. Its totient is φ = 123072000.

The previous prime is 287001947. The next prime is 287001971. The reversal of 287001968 is 869100782.

It is a super-3 number, since 3×287001968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 223055 + ... + 224337.

Almost surely, 2^287001968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320979456).

287001968 is an abundant number, since it is smaller than the sum of its proper divisors (354956944).

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

287001968 is a wasteful number, since it uses less digits than its factorization.

287001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 287001968 is about 16941.1324296813. The cubic root of 287001968 is about 659.6217361101.

The spelling of 287001968 in words is "two hundred eighty-seven million, one thousand, nine hundred sixty-eight".