287871648960 has 448 divisors, whose sum is σ = 1074605220864. Its totient is φ = 63933235200.

The previous prime is 287871648941. The next prime is 287871648979. The reversal of 287871648960 is 69846178782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (287871648941) and next prime (287871648979).

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 287871648891 and 287871648900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34019130 + ... + 34027590.

It is an arithmetic number, because the mean of its divisors is an integer number (2398672368).

Almost surely, 2^287871648960 is an apocalyptic number.

287871648960 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 287871648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537302610432).

287871648960 is an abundant number, since it is smaller than the sum of its proper divisors (786733571904).

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

287871648960 is a wasteful number, since it uses less digits than its factorization.

287871648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 287871648960 in words is "two hundred eighty-seven billion, eight hundred seventy-one million, six hundred forty-eight thousand, nine hundred sixty".