287460768 has 96 divisors (see below), whose sum is σ = 890265600. Its totient is φ = 79476480.

The previous prime is 287460763. The next prime is 287460773. The reversal of 287460768 is 867064782.

It is an interprime number because it is at equal distance from previous prime (287460763) and next prime (287460773).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (287460763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13933 + ... + 27731.

It is an arithmetic number, because the mean of its divisors is an integer number (9273600).

Almost surely, 2^287460768 is an apocalyptic number.

287460768 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 287460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445132800).

287460768 is an abundant number, since it is smaller than the sum of its proper divisors (602804832).

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

287460768 is a wasteful number, since it uses less digits than its factorization.

287460768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13850 (or 13842 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 287460768 is about 16954.6680297787. The cubic root of 287460768 is about 659.9730383844.

The spelling of 287460768 in words is "two hundred eighty-seven million, four hundred sixty thousand, seven hundred sixty-eight".