4728430080 has 480 divisors, whose sum is σ = 18553062528. Its totient is φ = 1144627200.

The previous prime is 4728430037. The next prime is 4728430103. The reversal of 4728430080 is 800348274.

4728430080 is a `hidden beast` number, since 472 + 84 + 30 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6842535 + ... + 6843225.

Almost surely, 2^4728430080 is an apocalyptic number.

4728430080 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 4728430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276531264).

4728430080 is an abundant number, since it is smaller than the sum of its proper divisors (13824632448).

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

4728430080 is an equidigital number, since it uses as much as digits as its factorization.

4728430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4728430080 is about 68763.5810585807. The cubic root of 4728430080 is about 1678.4393670283.

The spelling of 4728430080 in words is "four billion, seven hundred twenty-eight million, four hundred thirty thousand, eighty".