287690631424 has 81 divisors (see below), whose sum is σ = 668153311497. Its totient is φ = 123270239232.

The previous prime is 287690631421. The next prime is 287690631461. The reversal of 287690631424 is 424136096782.

The square root of 287690631424 is 536368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19946477824 + 267744153600 = 141232^2 + 517440^2 .

It is not an unprimeable number, because it can be changed into a prime (287690631421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60070822 + ... + 60075610.

Almost surely, 2^287690631424 is an apocalyptic number.

287690631424 is the 536368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287690631424

287690631424 is an abundant number, since it is smaller than the sum of its proper divisors (380462680073).

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

287690631424 is an frugal number, since it uses more digits than its factorization.

287690631424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 287690631424 in words is "two hundred eighty-seven billion, six hundred ninety million, six hundred thirty-one thousand, four hundred twenty-four".