4288930560 has 216 divisors, whose sum is σ = 15389970960. Its totient is φ = 1143631872.

The previous prime is 4288930531. The next prime is 4288930567. The reversal of 4288930560 is 650398824.

4288930560 is a `hidden beast` number, since 4 + 2 + 8 + 89 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4288930567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304146 + ... + 317934.

Almost surely, 2^4288930560 is an apocalyptic number.

4288930560 is a gapful number since it is divisible by the number (40) 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 4288930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694985480).

4288930560 is an abundant number, since it is smaller than the sum of its proper divisors (11101040400).

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

4288930560 is an equidigital number, since it uses as much as digits as its factorization.

4288930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4288930560 is about 65489.9271644121. The cubic root of 4288930560 is about 1624.7367538857.

The spelling of 4288930560 in words is "four billion, two hundred eighty-eight million, nine hundred thirty thousand, five hundred sixty".