4728768692856 has 256 divisors, whose sum is σ = 13572524851200. Its totient is φ = 1362615091200.

The previous prime is 4728768692833. The next prime is 4728768692881. The reversal of 4728768692856 is 6582968678274.

It is a super-2 number, since 2×4728768692856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

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 63 ways as a sum of consecutive naturals, for example, 40399536 + ... + 40516416.

It is an arithmetic number, because the mean of its divisors is an integer number (53017675200).

Almost surely, 2^{4728768692856} 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 4728768692856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786262425600).

4728768692856 is an abundant number, since it is smaller than the sum of its proper divisors (8843756158344).

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

4728768692856 is a wasteful number, since it uses less digits than its factorization.

4728768692856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117070 (or 117066 counting only the distinct ones).

The product of its digits is 3901685760, while the sum is 78.

The spelling of 4728768692856 in words is "four trillion, seven hundred twenty-eight billion, seven hundred sixty-eight million, six hundred ninety-two thousand, eight hundred fifty-six".