287093431268 has 96 divisors (see below), whose sum is σ = 613538365440. Its totient is φ = 114891799680.

The previous prime is 287093431253. The next prime is 287093431271. The reversal of 287093431268 is 862134390782.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57565871 + ... + 57570857.

It is an arithmetic number, because the mean of its divisors is an integer number (6391024640).

Almost surely, 2^287093431268 is an apocalyptic number.

287093431268 is a gapful number since it is divisible by the number (28) 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 287093431268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306769182720).

287093431268 is an abundant number, since it is smaller than the sum of its proper divisors (326444934172).

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

287093431268 is a wasteful number, since it uses less digits than its factorization.

287093431268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 287093431268 in words is "two hundred eighty-seven billion, ninety-three million, four hundred thirty-one thousand, two hundred sixty-eight".