728287511616 has 672 divisors, whose sum is σ = 2601870336000. Its totient is φ = 190067834880.

The previous prime is 728287511477. The next prime is 728287511629. The reversal of 728287511616 is 616115782827.

728287511616 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 8 + 7 + 5 + 11 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 1066306411 + ... + 1066307093.

Almost surely, 2^728287511616 is an apocalyptic number.

728287511616 is a gapful number since it is divisible by the number (76) 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 728287511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300935168000).

728287511616 is an abundant number, since it is smaller than the sum of its proper divisors (1873582824384).

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

728287511616 is a wasteful number, since it uses less digits than its factorization.

728287511616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 728287511616 in words is "seven hundred twenty-eight billion, two hundred eighty-seven million, five hundred eleven thousand, six hundred sixteen".