287352564 has 48 divisors (see below), whose sum is σ = 711337536. Its totient is φ = 89971200.

The previous prime is 287352563. The next prime is 287352577. The reversal of 287352564 is 465253782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287352563) 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, 133779 + ... + 135909.

It is an arithmetic number, because the mean of its divisors is an integer number (14819532).

Almost surely, 2^287352564 is an apocalyptic number.

It is an amenable number.

287352564 is an abundant number, since it is smaller than the sum of its proper divisors (423984972).

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

287352564 is a wasteful number, since it uses less digits than its factorization.

287352564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2814 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 287352564 is about 16951.4767498292. The cubic root of 287352564 is about 659.8902204923.

The spelling of 287352564 in words is "two hundred eighty-seven million, three hundred fifty-two thousand, five hundred sixty-four".