287838720 has 360 divisors, whose sum is σ = 1109296188. Its totient is φ = 68567040.

The previous prime is 287838703. The next prime is 287838731. The reversal of 287838720 is 27838782.

It can be written as a sum of positive squares in 2 ways, for example, as 267911424 + 19927296 = 16368^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×287838720² = 165702257462476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9285105 + ... + 9285135.

Almost surely, 2^287838720 is an apocalyptic number.

287838720 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 287838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554648094).

287838720 is an abundant number, since it is smaller than the sum of its proper divisors (821457468).

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

287838720 is a wasteful number, since it uses less digits than its factorization.

287838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 287838720 is about 16965.8103254752. The cubic root of 287838720 is about 660.2621548104.

The spelling of 287838720 in words is "two hundred eighty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".