288913920 has 80 divisors (see below), whose sum is σ = 923646240. Its totient is φ = 77041664.

The previous prime is 288913907. The next prime is 288913927. The reversal of 288913920 is 29319882.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (288913927) 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, 11130 + ... + 26489.

It is an arithmetic number, because the mean of its divisors is an integer number (11545578).

Almost surely, 2^288913920 is an apocalyptic number.

288913920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288913920 is an abundant number, since it is smaller than the sum of its proper divisors (634732320).

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

288913920 is an equidigital number, since it uses as much as digits as its factorization.

288913920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37645 (or 37629 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 288913920 is about 16997.4680467415. The cubic root of 288913920 is about 661.0832532312.

The spelling of 288913920 in words is "two hundred eighty-eight million, nine hundred thirteen thousand, nine hundred twenty".