4464838728 has 192 divisors, whose sum is σ = 14766336000. Its totient is φ = 1190318976.

The previous prime is 4464838723. The next prime is 4464838739. The reversal of 4464838728 is 8278384644.

It is a happy number.

4464838728 is a `hidden beast` number, since 4 + 464 + 83 + 87 + 28 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4464838723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638113 + ... + 645071.

It is an arithmetic number, because the mean of its divisors is an integer number (76908000).

Almost surely, 2^4464838728 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 4464838728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383168000).

4464838728 is an abundant number, since it is smaller than the sum of its proper divisors (10301497272).

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

4464838728 is a wasteful number, since it uses less digits than its factorization.

4464838728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 7057 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The square root of 4464838728 is about 66819.4487256517. The cubic root of 4464838728 is about 1646.6523774669.

It can be divided in two parts, 4464838 and 728, that added together give a triangular number (4465566 = T₂₉₈₈).

The spelling of 4464838728 in words is "four billion, four hundred sixty-four million, eight hundred thirty-eight thousand, seven hundred twenty-eight".