4477967728 has 80 divisors (see below), whose sum is σ = 9974361600. Its totient is φ = 1930279680.

The previous prime is 4477967719. The next prime is 4477967737. The reversal of 4477967728 is 8277697744.

It is an interprime number because it is at equal distance from previous prime (4477967719) and next prime (4477967737).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272613 + ... + 288571.

It is an arithmetic number, because the mean of its divisors is an integer number (124679520).

Almost surely, 2^4477967728 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 4477967728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

4477967728 is an abundant number, since it is smaller than the sum of its proper divisors (5496393872).

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

4477967728 is a wasteful number, since it uses less digits than its factorization.

4477967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16070 (or 16064 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 61.

The square root of 4477967728 is about 66917.6189654115. The cubic root of 4477967728 is about 1648.2648092236.

The spelling of 4477967728 in words is "four billion, four hundred seventy-seven million, nine hundred sixty-seven thousand, seven hundred twenty-eight".