287968992 has 24 divisors (see below), whose sum is σ = 755918856. Its totient is φ = 95989632.

The previous prime is 287968991. The next prime is 287968999. The reversal of 287968992 is 299869782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×287968992² = 165852280706992128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287968991) 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 3 ways as a sum of consecutive naturals, for example, 1499743 + ... + 1499934.

It is an arithmetic number, because the mean of its divisors is an integer number (31496619).

Almost surely, 2^287968992 is an apocalyptic number.

It is an amenable number.

287968992 is an abundant number, since it is smaller than the sum of its proper divisors (467949864).

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

287968992 is a wasteful number, since it uses less digits than its factorization.

287968992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999690 (or 2999682 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The square root of 287968992 is about 16969.6491419239. The cubic root of 287968992 is about 660.3617484283.

The spelling of 287968992 in words is "two hundred eighty-seven million, nine hundred sixty-eight thousand, nine hundred ninety-two".