287872090464 has 192 divisors, whose sum is σ = 909875151360. Its totient is φ = 77851238400.

The previous prime is 287872090433. The next prime is 287872090469. The reversal of 287872090464 is 464090278782.

It is a happy number.

It is a super-2 number, since 2×287872090464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287872090469) 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, 15324982 + ... + 15343754.

It is an arithmetic number, because the mean of its divisors is an integer number (4738933080).

Almost surely, 2^287872090464 is an apocalyptic number.

287872090464 is a gapful number since it is divisible by the number (24) 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 287872090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454937575680).

287872090464 is an abundant number, since it is smaller than the sum of its proper divisors (622003060896).

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

287872090464 is a wasteful number, since it uses less digits than its factorization.

287872090464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20013 (or 20005 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 287872090464 in words is "two hundred eighty-seven billion, eight hundred seventy-two million, ninety thousand, four hundred sixty-four".