728764188480 has 896 divisors, whose sum is σ = 2769710284800. Its totient is φ = 179841835008.

The previous prime is 728764188421. The next prime is 728764188491. The reversal of 728764188480 is 84881467827.

728764188480 is a `hidden beast` number, since 7 + 2 + 8 + 76 + 4 + 1 + 88 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1902778369 + ... + 1902778751.

Almost surely, 2^728764188480 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 728764188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384855142400).

728764188480 is an abundant number, since it is smaller than the sum of its proper divisors (2040946096320).

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

728764188480 is a wasteful number, since it uses less digits than its factorization.

728764188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 728764188480 in words is "seven hundred twenty-eight billion, seven hundred sixty-four million, one hundred eighty-eight thousand, four hundred eighty".