728528726016 has 1728 divisors, whose sum is σ = 2856775521600. Its totient is φ = 182598893568.

The previous prime is 728528725943. The next prime is 728528726027. The reversal of 728528726016 is 610627825827.

728528726016 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 28 + 7 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16942528491 + ... + 16942528533.

It is an arithmetic number, because the mean of its divisors is an integer number (1653226575).

Almost surely, 2^728528726016 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 728528726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428387760800).

728528726016 is an abundant number, since it is smaller than the sum of its proper divisors (2128246795584).

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

728528726016 is a wasteful number, since it uses less digits than its factorization.

728528726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 728528726016 in words is "seven hundred twenty-eight billion, five hundred twenty-eight million, seven hundred twenty-six thousand, sixteen".