287851140 has 144 divisors (see below), whose sum is σ = 973365120. Its totient is φ = 68428800.

The previous prime is 287851139. The next prime is 287851169. The reversal of 287851140 is 41158782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 287851095 and 287851104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55665 + ... + 60615.

It is an arithmetic number, because the mean of its divisors is an integer number (6759480).

Almost surely, 2^287851140 is an apocalyptic number.

287851140 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 287851140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486682560).

287851140 is an abundant number, since it is smaller than the sum of its proper divisors (685513980).

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

287851140 is a wasteful number, since it uses less digits than its factorization.

287851140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 287851140 is about 16966.1763517889. The cubic root of 287851140 is about 660.2716512604.

The spelling of 287851140 in words is "two hundred eighty-seven million, eight hundred fifty-one thousand, one hundred forty".