4648408128 has 672 divisors, whose sum is σ = 17707173120. Its totient is φ = 1184440320.

The previous prime is 4648408117. The next prime is 4648408133. The reversal of 4648408128 is 8218048464.

4648408128 is a `hidden beast` number, since 46 + 484 + 0 + 8 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45130125 + ... + 45130227.

It is an arithmetic number, because the mean of its divisors is an integer number (26349960).

Almost surely, 2^4648408128 is an apocalyptic number.

4648408128 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 4648408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8853586560).

4648408128 is an abundant number, since it is smaller than the sum of its proper divisors (13058764992).

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

4648408128 is a wasteful number, since it uses less digits than its factorization.

4648408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4648408128 is about 68179.2353139869. The cubic root of 4648408128 is about 1668.9170465777.

The spelling of 4648408128 in words is "four billion, six hundred forty-eight million, four hundred eight thousand, one hundred twenty-eight".