288746976 has 48 divisors (see below), whose sum is σ = 866242944. Its totient is φ = 82498944.

The previous prime is 288746963. The next prime is 288747013. The reversal of 288746976 is 679647882.

288746976 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 super-2 number, since 2×288746976² = 166749632298289152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214170 + ... + 215513.

It is an arithmetic number, because the mean of its divisors is an integer number (18046728).

Almost surely, 2^288746976 is an apocalyptic number.

It is an amenable number.

288746976 is an abundant number, since it is smaller than the sum of its proper divisors (577495968).

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

288746976 is a wasteful number, since it uses less digits than its factorization.

288746976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429703 (or 429695 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 288746976 is about 16992.5564880626. The cubic root of 288746976 is about 660.9558967891.

The spelling of 288746976 in words is "two hundred eighty-eight million, seven hundred forty-six thousand, nine hundred seventy-six".