4284096288 has 192 divisors, whose sum is σ = 13081098240. Its totient is φ = 1217728512.

The previous prime is 4284096263. The next prime is 4284096301. The reversal of 4284096288 is 8826904824.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4284096288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 710181 + ... + 716187.

It is an arithmetic number, because the mean of its divisors is an integer number (68130720).

Almost surely, 2^4284096288 is an apocalyptic number.

4284096288 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 4284096288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540549120).

4284096288 is an abundant number, since it is smaller than the sum of its proper divisors (8797001952).

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

4284096288 is a wasteful number, since it uses less digits than its factorization.

4284096288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6079 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 4284096288 is about 65453.0082425552. The cubic root of 4284096288 is about 1624.1260832165.

It can be divided in two parts, 42840 and 96288, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 4284096288 in words is "four billion, two hundred eighty-four million, ninety-six thousand, two hundred eighty-eight".