4288023520 has 144 divisors (see below), whose sum is σ = 11449580688. Its totient is φ = 1504993280.

The previous prime is 4288023479. The next prime is 4288023529. The reversal of 4288023520 is 253208824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288023529) 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, 1478712 + ... + 1481608.

It is an arithmetic number, because the mean of its divisors is an integer number (79510977).

Almost surely, 2^4288023520 is an apocalyptic number.

4288023520 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 4288023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724790344).

4288023520 is an abundant number, since it is smaller than the sum of its proper divisors (7161557168).

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

4288023520 is a wasteful number, since it uses less digits than its factorization.

4288023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4288023520 is about 65483.0017638165. The cubic root of 4288023520 is about 1624.6222105588.

The spelling of 4288023520 in words is "four billion, two hundred eighty-eight million, twenty-three thousand, five hundred twenty".