4728635788800 has 2880 divisors, whose sum is σ = 21365448952320. Its totient is φ = 908328960000.

The previous prime is 4728635788771. The next prime is 4728635788859. The reversal of 4728635788800 is 88875368274.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31315468725 + ... + 31315468875.

It is an arithmetic number, because the mean of its divisors is an integer number (7418558664).

Almost surely, 2^{4728635788800} is an apocalyptic number.

4728635788800 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 4728635788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682724476160).

4728635788800 is an abundant number, since it is smaller than the sum of its proper divisors (16636813163520).

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

4728635788800 is a wasteful number, since it uses less digits than its factorization.

4728635788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 4728635788800 in words is "four trillion, seven hundred twenty-eight billion, six hundred thirty-five million, seven hundred eighty-eight thousand, eight hundred".