52728806250 has 192 divisors, whose sum is σ = 147309321600. Its totient is φ = 13979520000.

The previous prime is 52728806237. The next prime is 52728806257. The reversal of 52728806250 is 5260882725.

52728806250 is a `hidden beast` number, since 527 + 28 + 80 + 6 + 25 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 52728806196 and 52728806205.

It is not an unprimeable number, because it can be changed into a prime (52728806257) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 32567941 + ... + 32569559.

It is an arithmetic number, because the mean of its divisors is an integer number (767236050).

Almost surely, 2^52728806250 is an apocalyptic number.

52728806250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52728806250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73654660800).

52728806250 is an abundant number, since it is smaller than the sum of its proper divisors (94580515350).

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

52728806250 is a wasteful number, since it uses less digits than its factorization.

52728806250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 52728806250 in words is "fifty-two billion, seven hundred twenty-eight million, eight hundred six thousand, two hundred fifty".