287571968 has 38 divisors (see below), whose sum is σ = 575667126. Its totient is φ = 143654912.

The previous prime is 287571953. The next prime is 287571979. The reversal of 287571968 is 869175782.

It can be written as a sum of positive squares in only one way, i.e., 220463104 + 67108864 = 14848^2 + 8192^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 261596 + ... + 262692.

Almost surely, 2^287571968 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 287571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287833563).

287571968 is an abundant number, since it is smaller than the sum of its proper divisors (288095158).

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

287571968 is an frugal number, since it uses more digits than its factorization.

287571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1099 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 53.

The square root of 287571968 is about 16957.9470455595. The cubic root of 287571968 is about 660.0581277240.

The spelling of 287571968 in words is "two hundred eighty-seven million, five hundred seventy-one thousand, nine hundred sixty-eight".