287320768 has 56 divisors (see below), whose sum is σ = 659538432. Its totient is φ = 121638144.

The previous prime is 287320763. The next prime is 287320769. The reversal of 287320768 is 867023782.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (287320763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33321 + ... + 41047.

It is an arithmetic number, because the mean of its divisors is an integer number (11777472).

Almost surely, 2^287320768 is an apocalyptic number.

287320768 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 287320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329769216).

287320768 is an abundant number, since it is smaller than the sum of its proper divisors (372217664).

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

287320768 is an equidigital number, since it uses as much as digits as its factorization.

287320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7829 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 287320768 is about 16950.5388704902. The cubic root of 287320768 is about 659.8658803076.

The spelling of 287320768 in words is "two hundred eighty-seven million, three hundred twenty thousand, seven hundred sixty-eight".