4275468288 has 288 divisors, whose sum is σ = 15203916000. Its totient is φ = 1127153664.

The previous prime is 4275468287. The next prime is 4275468319. The reversal of 4275468288 is 8828645724.

4275468288 is digitally balanced in base 2, 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 (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4275468287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1676038 + ... + 1678586.

It is an arithmetic number, because the mean of its divisors is an integer number (52791375).

Almost surely, 2^4275468288 is an apocalyptic number.

4275468288 is a gapful number since it is divisible by the number (48) 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 4275468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601958000).

4275468288 is an abundant number, since it is smaller than the sum of its proper divisors (10928447712).

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

4275468288 is a wasteful number, since it uses less digits than its factorization.

4275468288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2574 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 4275468288 is about 65387.0651428859. The cubic root of 4275468288 is about 1623.0350419463.

The spelling of 4275468288 in words is "four billion, two hundred seventy-five million, four hundred sixty-eight thousand, two hundred eighty-eight".