4809928320 has 192 divisors, whose sum is σ = 17586658440. Its totient is φ = 1207173120.

The previous prime is 4809928289. The next prime is 4809928367. The reversal of 4809928320 is 238299084.

4809928320 is a `hidden beast` number, since 480 + 9 + 92 + 83 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3348242496 + 1461685824 = 57864^2 + 38232^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4809928320³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73360 + ... + 122480.

Almost surely, 2^4809928320 is an apocalyptic number.

4809928320 is a gapful number since it is divisible by the number (40) 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 4809928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8793329220).

4809928320 is an abundant number, since it is smaller than the sum of its proper divisors (12776730120).

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

4809928320 is a wasteful number, since it uses less digits than its factorization.

4809928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49163 (or 49148 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4809928320 is about 69353.6467678521. The cubic root of 4809928320 is about 1688.0275670647.

The spelling of 4809928320 in words is "four billion, eight hundred nine million, nine hundred twenty-eight thousand, three hundred twenty".