287883648 has 192 divisors, whose sum is σ = 913348800. Its totient is φ = 86482944.

The previous prime is 287883647. The next prime is 287883689. The reversal of 287883648 is 846388782.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 287883594 and 287883603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287883641) 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, 703668 + ... + 704076.

It is an arithmetic number, because the mean of its divisors is an integer number (4757025).

Almost surely, 2^287883648 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 287883648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456674400).

287883648 is an abundant number, since it is smaller than the sum of its proper divisors (625465152).

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

287883648 is a wasteful number, since it uses less digits than its factorization.

287883648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 287883648 is about 16967.1343484986. The cubic root of 287883648 is about 660.2965058928.

The spelling of 287883648 in words is "two hundred eighty-seven million, eight hundred eighty-three thousand, six hundred forty-eight".