728536798080 has 2304 divisors, whose sum is σ = 3359831529600. Its totient is φ = 143879307264.

The previous prime is 728536798063. The next prime is 728536798081. The reversal of 728536798080 is 80897635827.

728536798080 is a `hidden beast` number, since 7 + 2 + 8 + 536 + 7 + 98 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 728536797999 and 728536798017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728536798081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7510688592 + ... + 7510688688.

Almost surely, 2^728536798080 is an apocalyptic number.

728536798080 is a gapful number since it is divisible by the number (70) 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 728536798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679915764800).

728536798080 is an abundant number, since it is smaller than the sum of its proper divisors (2631294731520).

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

728536798080 is a wasteful number, since it uses less digits than its factorization.

728536798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 728536798080 in words is "seven hundred twenty-eight billion, five hundred thirty-six million, seven hundred ninety-eight thousand, eighty".