4728003764820 has 192 divisors, whose sum is σ = 15653918891520. Its totient is φ = 1043248453632.

The previous prime is 4728003764807. The next prime is 4728003764833. The reversal of 4728003764820 is 284673008274.

It is an interprime number because it is at equal distance from previous prime (4728003764807) and next prime (4728003764833).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81979114 + ... + 82036766.

It is an arithmetic number, because the mean of its divisors is an integer number (81530827560).

Almost surely, 2^{4728003764820} 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 4728003764820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826959445760).

4728003764820 is an abundant number, since it is smaller than the sum of its proper divisors (10925915126700).

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

4728003764820 is a wasteful number, since it uses less digits than its factorization.

4728003764820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64434 (or 64432 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 4728003764820 in words is "four trillion, seven hundred twenty-eight billion, three million, seven hundred sixty-four thousand, eight hundred twenty".