4728058020 has 576 divisors, whose sum is σ = 18946690560. Its totient is φ = 970776576.

The previous prime is 4728058019. The next prime is 4728058039. The reversal of 4728058020 is 208508274.

It is a happy number.

4728058020 is a `hidden beast` number, since 4 + 72 + 8 + 0 + 580 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10345632 + ... + 10346088.

It is an arithmetic number, because the mean of its divisors is an integer number (32893560).

Almost surely, 2^4728058020 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 4728058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9473345280).

4728058020 is an abundant number, since it is smaller than the sum of its proper divisors (14218632540).

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

4728058020 is a wasteful number, since it uses less digits than its factorization.

4728058020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4728058020 is about 68760.8756488746. The cubic root of 4728058020 is about 1678.3953427947.

The spelling of 4728058020 in words is "four billion, seven hundred twenty-eight million, fifty-eight thousand, twenty".