287880336 has 60 divisors (see below), whose sum is σ = 813100860. Its totient is φ = 95074560.

The previous prime is 287880277. The next prime is 287880337. The reversal of 287880336 is 633088782.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 180633600 = 10356^2 + 13440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 287880291 and 287880300.

It is not an unprimeable number, because it can be changed into a prime (287880337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6526 + ... + 24866.

It is an arithmetic number, because the mean of its divisors is an integer number (13551681).

Almost surely, 2^287880336 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 287880336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406550430).

287880336 is an abundant number, since it is smaller than the sum of its proper divisors (525220524).

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

287880336 is a wasteful number, since it uses less digits than its factorization.

287880336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18464 (or 18455 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 287880336 is about 16967.0367477648. The cubic root of 287880336 is about 660.2939737235.

The spelling of 287880336 in words is "two hundred eighty-seven million, eight hundred eighty thousand, three hundred thirty-six".