287004628668 has 192 divisors, whose sum is σ = 765153607680. Its totient is φ = 83249337600.

The previous prime is 287004628597. The next prime is 287004628681. The reversal of 287004628668 is 866826400782.

287004628668 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21289146 + ... + 21302622.

It is an arithmetic number, because the mean of its divisors is an integer number (3985175040).

Almost surely, 2^287004628668 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 287004628668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382576803840).

287004628668 is an abundant number, since it is smaller than the sum of its proper divisors (478148979012).

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

287004628668 is a wasteful number, since it uses less digits than its factorization.

287004628668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13688 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 287004628668 in words is "two hundred eighty-seven billion, four million, six hundred twenty-eight thousand, six hundred sixty-eight".