4728507840 has 1008 divisors, whose sum is σ = 21058888032. Its totient is φ = 1003290624.

The previous prime is 4728507811. The next prime is 4728507851. The reversal of 4728507840 is 487058274.

4728507840 is a `hidden beast` number, since 47 + 28 + 507 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64774044 + ... + 64774116.

It is an arithmetic number, because the mean of its divisors is an integer number (20891754).

Almost surely, 2^4728507840 is an apocalyptic number.

4728507840 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 4728507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529444016).

4728507840 is an abundant number, since it is smaller than the sum of its proper divisors (16330380192).

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

4728507840 is a wasteful number, since it uses less digits than its factorization.

4728507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 4728507840 is about 68764.1464718352. The cubic root of 4728507840 is about 1678.4485677374.

It can be divided in two parts, 472850 and 7840, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 4728507840 in words is "four billion, seven hundred twenty-eight million, five hundred seven thousand, eight hundred forty".