287942402880 has 882 divisors, whose sum is σ = 1141275446934. Its totient is φ = 69113088000.

The previous prime is 287942402873. The next prime is 287942402887. The reversal of 287942402880 is 88204249782.

287942402880 is a `hidden beast` number, since 287 + 9 + 42 + 40 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (287942402873) and next prime (287942402887).

It can be written as a sum of positive squares in 3 ways, for example, as 178868093184 + 109074309696 = 422928^2 + 330264^2 .

It is a super-4 number, since 4×287942402880⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287942402887) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2850914830 + ... + 2850914930.

Almost surely, 2^287942402880 is an apocalyptic number.

287942402880 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 287942402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570637723467).

287942402880 is an abundant number, since it is smaller than the sum of its proper divisors (853333044054).

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

287942402880 is an equidigital number, since it uses as much as digits as its factorization.

287942402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 287942402880 in words is "two hundred eighty-seven billion, nine hundred forty-two million, four hundred two thousand, eight hundred eighty".