4728916764 has 216 divisors, whose sum is σ = 14867798400. Its totient is φ = 1252817280.

The previous prime is 4728916727. The next prime is 4728916769. The reversal of 4728916764 is 4676198274.

4728916764 is a `hidden beast` number, since 472 + 8 + 9 + 167 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4728916764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4728916769) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1269697 + ... + 1273415.

It is an arithmetic number, because the mean of its divisors is an integer number (68832400).

Almost surely, 2^4728916764 is an apocalyptic number.

4728916764 is a gapful number since it is divisible by the number (44) 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 4728916764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433899200).

4728916764 is an abundant number, since it is smaller than the sum of its proper divisors (10138881636).

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

4728916764 is a wasteful number, since it uses less digits than its factorization.

4728916764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3767 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 4728916764 is about 68767.1197884570. The cubic root of 4728916764 is about 1678.4969507327.

The spelling of 4728916764 in words is "four billion, seven hundred twenty-eight million, nine hundred sixteen thousand, seven hundred sixty-four".