728257177471824 has 2520 divisors, whose sum is σ = 3051451745651232. Its totient is φ = 165410565626880.

The previous prime is 728257177471753. The next prime is 728257177471853. The reversal of 728257177471824 is 428174771752827.

728257177471824 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 5 + 7 + 1 + 77 + 471 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 29504390587 + ... + 29504415269.

Almost surely, 2^{728257177471824} 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 728257177471824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525725872825616).

728257177471824 is an abundant number, since it is smaller than the sum of its proper divisors (2323194568179408).

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

728257177471824 is a wasteful number, since it uses less digits than its factorization.

728257177471824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24785 (or 24738 counting only the distinct ones).

The product of its digits is 688414720, while the sum is 72.

The spelling of 728257177471824 in words is "seven hundred twenty-eight trillion, two hundred fifty-seven billion, one hundred seventy-seven million, four hundred seventy-one thousand, eight hundred twenty-four".