4288809120 has 192 divisors, whose sum is σ = 14113491840. Its totient is φ = 1093644288.

The previous prime is 4288809097. The next prime is 4288809127. The reversal of 4288809120 is 219088824.

It is a Cunningham number, because it is equal to 65489²-1.

It is not an unprimeable number, because it can be changed into a prime (4288809127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045794 + ... + 1049886.

It is an arithmetic number, because the mean of its divisors is an integer number (73507770).

Almost surely, 2^4288809120 is an apocalyptic number.

4288809120 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 4288809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056745920).

4288809120 is an abundant number, since it is smaller than the sum of its proper divisors (9824682720).

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

4288809120 is a wasteful number, since it uses less digits than its factorization.

4288809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 4288809120 is about 65488.9999923651. Note that the first 5 decimals coincide. The cubic root of 4288809120 is about 1624.7214190688.

The spelling of 4288809120 in words is "four billion, two hundred eighty-eight million, eight hundred nine thousand, one hundred twenty".