4288450752 has 84 divisors (see below), whose sum is σ = 12308601240. Its totient is φ = 1427561472.

The previous prime is 4288450697. The next prime is 4288450781. The reversal of 4288450752 is 2570548824.

4288450752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4288450752³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4288450698 and 4288450707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461383 + ... + 470585.

Almost surely, 2^4288450752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288450752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154300620).

4288450752 is an abundant number, since it is smaller than the sum of its proper divisors (8020150488).

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

4288450752 is a wasteful number, since it uses less digits than its factorization.

4288450752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 4288450752 is about 65486.2638421219. The cubic root of 4288450752 is about 1624.6761645186.

It can be divided in two parts, 42884 and 50752, that added together give a square (93636 = 306²).

The spelling of 4288450752 in words is "four billion, two hundred eighty-eight million, four hundred fifty thousand, seven hundred fifty-two".