287241984 has 144 divisors (see below), whose sum is σ = 879328800. Its totient is φ = 92381184.

The previous prime is 287241953. The next prime is 287242027. The reversal of 287241984 is 489142782.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199732 + ... + 201164.

It is an arithmetic number, because the mean of its divisors is an integer number (6106450).

Almost surely, 2^287241984 is an apocalyptic number.

287241984 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 287241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439664400).

287241984 is an abundant number, since it is smaller than the sum of its proper divisors (592086816).

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

287241984 is a wasteful number, since it uses less digits than its factorization.

287241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1467 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 287241984 is about 16948.2147732438. The cubic root of 287241984 is about 659.8055625586.

The spelling of 287241984 in words is "two hundred eighty-seven million, two hundred forty-one thousand, nine hundred eighty-four".