728769542400 has 243 divisors, whose sum is σ = 2606248302931. Its totient is φ = 194283909120.

The previous prime is 728769542381. The next prime is 728769542401. The reversal of 728769542400 is 4245967827.

The square root of 728769542400 is 853680.

It is a perfect power (a square), and thus also a powerful number.

728769542400 is a `hidden beast` number, since 7 + 28 + 76 + 9 + 542 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212027095296 + 516742447104 = 460464^2 + 718848^2 .

It is a super-2 number, since 2×728769542400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728769542401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 204881422 + ... + 204884978.

Almost surely, 2^728769542400 is an apocalyptic number.

728769542400 is the 853680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728769542400

728769542400 is an abundant number, since it is smaller than the sum of its proper divisors (1877478760531).

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

728769542400 is an frugal number, since it uses more digits than its factorization.

728769542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 728769542400 in words is "seven hundred twenty-eight billion, seven hundred sixty-nine million, five hundred forty-two thousand, four hundred".