287363040 has 192 divisors, whose sum is σ = 939859200. Its totient is φ = 73764864.

The previous prime is 287363017. The next prime is 287363047. The reversal of 287363040 is 40363782.

It is a junction number, because it is equal to n+sod(n) for n = 287362992 and 287363010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287363047) 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, 2067291 + ... + 2067429.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2^287363040 is an apocalyptic number.

287363040 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 287363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469929600).

287363040 is an abundant number, since it is smaller than the sum of its proper divisors (652496160).

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

287363040 is a wasteful number, since it uses less digits than its factorization.

287363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 287363040 is about 16951.7857466404. The cubic root of 287363040 is about 659.8982395912.

The spelling of 287363040 in words is "two hundred eighty-seven million, three hundred sixty-three thousand, forty".