501728728800 has 576 divisors, whose sum is σ = 1864943136000. Its totient is φ = 116141506560.

The previous prime is 501728728799. The next prime is 501728728889. The reversal of 501728728800 is 8827827105.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 501728728800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82396156 + ... + 82402244.

It is an arithmetic number, because the mean of its divisors is an integer number (3237748500).

Almost surely, 2^501728728800 is an apocalyptic number.

501728728800 is a gapful number since it is divisible by the number (50) 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 501728728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932471568000).

501728728800 is an abundant number, since it is smaller than the sum of its proper divisors (1363214407200).

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

501728728800 is a wasteful number, since it uses less digits than its factorization.

501728728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 48.

The spelling of 501728728800 in words is "five hundred one billion, seven hundred twenty-eight million, seven hundred twenty-eight thousand, eight hundred".