728337387528 has 384 divisors, whose sum is σ = 2203718400000. Its totient is φ = 216270590976.

The previous prime is 728337387511. The next prime is 728337387593. The reversal of 728337387528 is 825783733827.

728337387528 is a `hidden beast` number, since 7 + 2 + 8 + 33 + 73 + 8 + 7 + 528 = 666.

It is a super-2 number, since 2×728337387528² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 557258251 + ... + 557259557.

It is an arithmetic number, because the mean of its divisors is an integer number (5738850000).

Almost surely, 2^728337387528 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 728337387528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101859200000).

728337387528 is an abundant number, since it is smaller than the sum of its proper divisors (1475381012472).

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

728337387528 is a wasteful number, since it uses less digits than its factorization.

728337387528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1642 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 728337387528 in words is "seven hundred twenty-eight billion, three hundred thirty-seven million, three hundred eighty-seven thousand, five hundred twenty-eight".