288763680 has 48 divisors (see below), whose sum is σ = 909607104. Its totient is φ = 77003520.

The previous prime is 288763669. The next prime is 288763681. The reversal of 288763680 is 86367882.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (288763681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300316 + ... + 301275.

It is an arithmetic number, because the mean of its divisors is an integer number (18950148).

Almost surely, 2^288763680 is an apocalyptic number.

288763680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288763680 is an abundant number, since it is smaller than the sum of its proper divisors (620843424).

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

288763680 is a wasteful number, since it uses less digits than its factorization.

288763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601609 (or 601601 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 288763680 is about 16993.0479902812. The cubic root of 288763680 is about 660.9686419666.

The spelling of 288763680 in words is "two hundred eighty-eight million, seven hundred sixty-three thousand, six hundred eighty".