287947764 has 192 divisors, whose sum is σ = 865159680. Its totient is φ = 82114560.

The previous prime is 287947763. The next prime is 287947769. The reversal of 287947764 is 467749782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 287947764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287947763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1194684 + ... + 1194924.

It is an arithmetic number, because the mean of its divisors is an integer number (4506040).

Almost surely, 2^287947764 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 287947764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432579840).

287947764 is an abundant number, since it is smaller than the sum of its proper divisors (577211916).

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

287947764 is a wasteful number, since it uses less digits than its factorization.

287947764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 287947764 is about 16969.0236607767. The cubic root of 287947764 is about 660.3455215612.

The spelling of 287947764 in words is "two hundred eighty-seven million, nine hundred forty-seven thousand, seven hundred sixty-four".