4505832288 has 144 divisors (see below), whose sum is σ = 13039593840. Its totient is φ = 1475653632.

The previous prime is 4505832257. The next prime is 4505832307. The reversal of 4505832288 is 8822385054.

4505832288 is a `hidden beast` number, since 45 + 0 + 583 + 2 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5569228 + ... + 5570036.

It is an arithmetic number, because the mean of its divisors is an integer number (90552735).

Almost surely, 2^4505832288 is an apocalyptic number.

4505832288 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 4505832288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519796920).

4505832288 is an abundant number, since it is smaller than the sum of its proper divisors (8533761552).

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

4505832288 is a wasteful number, since it uses less digits than its factorization.

4505832288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4505832288 is about 67125.4965568226. The cubic root of 4505832288 is about 1651.6765680354.

The spelling of 4505832288 in words is "four billion, five hundred five million, eight hundred thirty-two thousand, two hundred eighty-eight".