287242889472 has 648 divisors, whose sum is σ = 1072692933312. Its totient is φ = 74574950400.

The previous prime is 287242889443. The next prime is 287242889473. The reversal of 287242889472 is 274988242782.

287242889472 is a `hidden beast` number, since 2 + 87 + 2 + 4 + 2 + 8 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287242889473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129329322 + ... + 129331542.

Almost surely, 2^287242889472 is an apocalyptic number.

287242889472 is a gapful number since it is divisible by the number (22) 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 287242889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536346466656).

287242889472 is an abundant number, since it is smaller than the sum of its proper divisors (785450043840).

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

287242889472 is an frugal number, since it uses more digits than its factorization.

287242889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2244 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 287242889472 in words is "two hundred eighty-seven billion, two hundred forty-two million, eight hundred eighty-nine thousand, four hundred seventy-two".