728697632832 has 140 divisors (see below), whose sum is σ = 2326248899436. Its totient is φ = 224214635520.

The previous prime is 728697632783. The next prime is 728697632837. The reversal of 728697632832 is 238236796827.

It is a happy number.

728697632832 is a `hidden beast` number, since 7 + 286 + 9 + 76 + 3 + 283 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353007092736 + 375690540096 = 594144^2 + 612936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 728697632832.

It is not an unprimeable number, because it can be changed into a prime (728697632837) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5339019 + ... + 5473802.

Almost surely, 2^728697632832 is an apocalyptic number.

728697632832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

728697632832 is an abundant number, since it is smaller than the sum of its proper divisors (1597551266604).

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

728697632832 is a wasteful number, since it uses less digits than its factorization.

728697632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812858 (or 10812839 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 728697632832 in words is "seven hundred twenty-eight billion, six hundred ninety-seven million, six hundred thirty-two thousand, eight hundred thirty-two".