4728855832740 has 1152 divisors, whose sum is σ = 17156037427200. Its totient is φ = 1078811136000.

The previous prime is 4728855832711. The next prime is 4728855832793. The reversal of 4728855832740 is 472385588274.

4728855832740 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 8 + 5 + 583 + 2 + 7 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6843495795 + ... + 6843496485.

It is an arithmetic number, because the mean of its divisors is an integer number (14892393600).

Almost surely, 2^{4728855832740} 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 4728855832740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578018713600).

4728855832740 is an abundant number, since it is smaller than the sum of its proper divisors (12427181594460).

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

4728855832740 is a wasteful number, since it uses less digits than its factorization.

4728855832740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 4728855832740 in words is "four trillion, seven hundred twenty-eight billion, eight hundred fifty-five million, eight hundred thirty-two thousand, seven hundred forty".