52728051600 has 300 divisors, whose sum is σ = 216271497024. Its totient is φ = 12052074240.

The previous prime is 52728051587. The next prime is 52728051611. The reversal of 52728051600 is 615082725.

It is a happy number.

52728051600 is a `hidden beast` number, since 5 + 27 + 28 + 0 + 5 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 110557 + ... + 343043.

Almost surely, 2^52728051600 is an apocalyptic number.

52728051600 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 52728051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108135748512).

52728051600 is an abundant number, since it is smaller than the sum of its proper divisors (163543445424).

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

52728051600 is a wasteful number, since it uses less digits than its factorization.

52728051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232524 (or 232504 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52728051600 in words is "fifty-two billion, seven hundred twenty-eight million, fifty-one thousand, six hundred".