287713728 has 224 divisors, whose sum is σ = 901232640. Its totient is φ = 89856000.

The previous prime is 287713721. The next prime is 287713787. The reversal of 287713728 is 827317782.

It is a happy number.

Its product of digits (263424) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287713721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196223 + ... + 2196353.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2^287713728 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 287713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450616320).

287713728 is an abundant number, since it is smaller than the sum of its proper divisors (613518912).

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

287713728 is a wasteful number, since it uses less digits than its factorization.

287713728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 287713728 is about 16962.1262818080. The cubic root of 287713728 is about 660.1665695282.

The spelling of 287713728 in words is "two hundred eighty-seven million, seven hundred thirteen thousand, seven hundred twenty-eight".