4288649760 has 192 divisors, whose sum is σ = 15294303360. Its totient is φ = 1122001920.

The previous prime is 4288649741. The next prime is 4288649767. The reversal of 4288649760 is 679468824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4288649697 and 4288649706.

It is not an unprimeable number, because it can be changed into a prime (4288649767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219595 + ... + 238325.

It is an arithmetic number, because the mean of its divisors is an integer number (79657830).

Almost surely, 2^4288649760 is an apocalyptic number.

4288649760 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 4288649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647151680).

4288649760 is an abundant number, since it is smaller than the sum of its proper divisors (11005653600).

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

4288649760 is a wasteful number, since it uses less digits than its factorization.

4288649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18808 (or 18794 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4288649760 is about 65487.7832881828. The cubic root of 4288649760 is about 1624.7012954708.

The spelling of 4288649760 in words is "four billion, two hundred eighty-eight million, six hundred forty-nine thousand, seven hundred sixty".