287485632 has 112 divisors (see below), whose sum is σ = 965931520. Its totient is φ = 82135296.

The previous prime is 287485631. The next prime is 287485633. The reversal of 287485632 is 236584782.

287485632 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 8 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (287485631) and next prime (287485633).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (287485631) 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 15 ways as a sum of consecutive naturals, for example, 213 + ... + 23979.

Almost surely, 2^287485632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482965760).

287485632 is an abundant number, since it is smaller than the sum of its proper divisors (678445888).

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

287485632 is a wasteful number, since it uses less digits than its factorization.

287485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23795 (or 23779 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 287485632 is about 16955.4012633143. The cubic root of 287485632 is about 659.9920660203.

The spelling of 287485632 in words is "two hundred eighty-seven million, four hundred eighty-five thousand, six hundred thirty-two".