287230568238432 has 3072 divisors, whose sum is σ = 1120876285132800. Its totient is φ = 69514901913600.

The previous prime is 287230568238413. The next prime is 287230568238463. The reversal of 287230568238432 is 234832865032782.

287230568238432 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 3 + 0 + 568 + 2 + 38 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 287230568238432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1288029453873 + ... + 1288029454095.

It is an arithmetic number, because the mean of its divisors is an integer number (364868582400).

Almost surely, 2^{287230568238432} 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 287230568238432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560438142566400).

287230568238432 is an abundant number, since it is smaller than the sum of its proper divisors (833645716894368).

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

287230568238432 is a wasteful number, since it uses less digits than its factorization.

287230568238432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 287230568238432 in words is "two hundred eighty-seven trillion, two hundred thirty billion, five hundred sixty-eight million, two hundred thirty-eight thousand, four hundred thirty-two".