52728399360 has 1280 divisors, whose sum is σ = 235604920320. Its totient is φ = 10882252800.

The previous prime is 52728399337. The next prime is 52728399371. The reversal of 52728399360 is 6399382725.

It is a happy number.

52728399360 is a `hidden beast` number, since 5 + 272 + 8 + 3 + 9 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52728399297 and 52728399306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522063310 + ... + 522063410.

It is an arithmetic number, because the mean of its divisors is an integer number (184066344).

Almost surely, 2^52728399360 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 52728399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117802460160).

52728399360 is an abundant number, since it is smaller than the sum of its proper divisors (182876520960).

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

52728399360 is a wasteful number, since it uses less digits than its factorization.

52728399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 52728399360 in words is "fifty-two billion, seven hundred twenty-eight million, three hundred ninety-nine thousand, three hundred sixty".