4617938328 has 64 divisors (see below), whose sum is σ = 11868685920. Its totient is φ = 1496217600.

The previous prime is 4617938263. The next prime is 4617938341. The reversal of 4617938328 is 8238397164.

It is a super-3 number, since 3×4617938328³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 1206658 + ... + 1210478.

Almost surely, 2^4617938328 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 4617938328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934342960).

4617938328 is an abundant number, since it is smaller than the sum of its proper divisors (7250747592).

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

4617938328 is a wasteful number, since it uses less digits than its factorization.

4617938328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5224 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 4617938328 is about 67955.4142655315. The cubic root of 4617938328 is about 1665.2625278398.

The spelling of 4617938328 in words is "four billion, six hundred seventeen million, nine hundred thirty-eight thousand, three hundred twenty-eight".