728596512 has 192 divisors, whose sum is σ = 2475567360. Its totient is φ = 204152832.

The previous prime is 728596469. The next prime is 728596513. The reversal of 728596512 is 215695827.

728596512 is a `hidden beast` number, since 7 + 2 + 8 + 596 + 51 + 2 = 666.

It is a super-2 number, since 2×728596512² = 1061705754597132288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728596513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319408 + ... + 321680.

It is an arithmetic number, because the mean of its divisors is an integer number (12893580).

Almost surely, 2^728596512 is an apocalyptic number.

728596512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728596512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237783680).

728596512 is an abundant number, since it is smaller than the sum of its proper divisors (1746970848).

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

728596512 is a wasteful number, since it uses less digits than its factorization.

728596512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2338 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 728596512 is about 26992.5269658104. The cubic root of 728596512 is about 899.8339249120.

The spelling of 728596512 in words is "seven hundred twenty-eight million, five hundred ninety-six thousand, five hundred twelve".