287893920 has 48 divisors (see below), whose sum is σ = 906867360. Its totient is φ = 76771584.

The previous prime is 287893891. The next prime is 287893951. The reversal of 287893920 is 29398782.

It is a happy number.

287893920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 287893920.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 299410 + ... + 300369.

It is an arithmetic number, because the mean of its divisors is an integer number (18893070).

Almost surely, 2^287893920 is an apocalyptic number.

287893920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287893920 is an abundant number, since it is smaller than the sum of its proper divisors (618973440).

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

287893920 is a wasteful number, since it uses less digits than its factorization.

287893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599797 (or 599789 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 287893920 is about 16967.4370486529. The cubic root of 287893920 is about 660.3043591640.

The spelling of 287893920 in words is "two hundred eighty-seven million, eight hundred ninety-three thousand, nine hundred twenty".