287319648 has 192 divisors, whose sum is σ = 961486848. Its totient is φ = 72952320.

The previous prime is 287319647. The next prime is 287319661. The reversal of 287319648 is 846913782.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 287319597 and 287319606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287319647) 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, 347011 + ... + 347837.

It is an arithmetic number, because the mean of its divisors is an integer number (5007744).

Almost surely, 2^287319648 is an apocalyptic number.

287319648 is a gapful number since it is divisible by the number (28) 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 287319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480743424).

287319648 is an abundant number, since it is smaller than the sum of its proper divisors (674167200).

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

287319648 is a wasteful number, since it uses less digits than its factorization.

287319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 287319648 is about 16950.5058331603. The cubic root of 287319648 is about 659.8650229027.

The spelling of 287319648 in words is "two hundred eighty-seven million, three hundred nineteen thousand, six hundred forty-eight".