4617241728 has 128 divisors (see below), whose sum is σ = 13841236800. Its totient is φ = 1350881280.

The previous prime is 4617241709. The next prime is 4617241753. The reversal of 4617241728 is 8271427164.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 4617241728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103650 + ... + 141342.

Almost surely, 2^4617241728 is an apocalyptic number.

4617241728 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 4617241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920618400).

4617241728 is an abundant number, since it is smaller than the sum of its proper divisors (9223995072).

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

4617241728 is a wasteful number, since it uses less digits than its factorization.

4617241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37750 (or 37738 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 4617241728 is about 67950.2886528085. The cubic root of 4617241728 is about 1665.1787906013.

The spelling of 4617241728 in words is "four billion, six hundred seventeen million, two hundred forty-one thousand, seven hundred twenty-eight".