52704001728 has 1008 divisors, whose sum is σ = 198320338944. Its totient is φ = 13795246080.

The previous prime is 52704001717. The next prime is 52704001739. The reversal of 52704001728 is 82710040725.

It is an interprime number because it is at equal distance from previous prime (52704001717) and next prime (52704001739).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 52704001692 and 52704001701.

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 143 ways as a sum of consecutive naturals, for example, 543340176 + ... + 543340272.

It is an arithmetic number, because the mean of its divisors is an integer number (196746368).

Almost surely, 2^52704001728 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 52704001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99160169472).

52704001728 is an abundant number, since it is smaller than the sum of its proper divisors (145616337216).

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

52704001728 is a wasteful number, since it uses less digits than its factorization.

52704001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 52704001728 in words is "fifty-two billion, seven hundred four million, one thousand, seven hundred twenty-eight".