287688960 has 432 divisors, whose sum is σ = 1145040624. Its totient is φ = 66060288.

The previous prime is 287688941. The next prime is 287688967. The reversal of 287688960 is 69886782.

It can be written as a sum of positive squares in 8 ways, for example, as 53231616 + 234457344 = 7296^2 + 15312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 287688897 and 287688906.

It is not an unprimeable number, because it can be changed into a prime (287688967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545864 + ... + 2545976.

It is an arithmetic number, because the mean of its divisors is an integer number (2650557).

Almost surely, 2^287688960 is an apocalyptic number.

287688960 is a gapful number since it is divisible by the number (20) 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 287688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572520312).

287688960 is an abundant number, since it is smaller than the sum of its proper divisors (857351664).

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

287688960 is a wasteful number, since it uses less digits than its factorization.

287688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 287688960 is about 16961.3961689479. The cubic root of 287688960 is about 660.1476253797.

The spelling of 287688960 in words is "two hundred eighty-seven million, six hundred eighty-eight thousand, nine hundred sixty".