287233968 has 80 divisors (see below), whose sum is σ = 852889856. Its totient is φ = 81596160.

The previous prime is 287233957. The next prime is 287233981. The reversal of 287233968 is 869332782.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58455 + ... + 63177.

Almost surely, 2^287233968 is an apocalyptic number.

287233968 is a gapful number since it is divisible by the number (28) 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 287233968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426444928).

287233968 is an abundant number, since it is smaller than the sum of its proper divisors (565655888).

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

287233968 is a wasteful number, since it uses less digits than its factorization.

287233968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4916 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 287233968 is about 16947.9782865096. The cubic root of 287233968 is about 659.7994248178.

The spelling of 287233968 in words is "two hundred eighty-seven million, two hundred thirty-three thousand, nine hundred sixty-eight".