287223264 has 144 divisors (see below), whose sum is σ = 861404544. Its totient is φ = 90604800.

The previous prime is 287223263. The next prime is 287223283. The reversal of 287223264 is 462322782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287223263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867579 + ... + 867909.

It is an arithmetic number, because the mean of its divisors is an integer number (5981976).

Almost surely, 2^287223264 is an apocalyptic number.

287223264 is a gapful number since it is divisible by the number (24) 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 287223264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430702272).

287223264 is an abundant number, since it is smaller than the sum of its proper divisors (574181280).

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

287223264 is a wasteful number, since it uses less digits than its factorization.

287223264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 287223264 is about 16947.6624936892. The cubic root of 287223264 is about 659.7912287343.

The spelling of 287223264 in words is "two hundred eighty-seven million, two hundred twenty-three thousand, two hundred sixty-four".