728939823393600 has 4032 divisors, whose sum is σ = 3533129765222400. Its totient is φ = 144404734279680.

The previous prime is 728939823393589. The next prime is 728939823393601. The reversal of 728939823393600 is 6393328939827.

728939823393600 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 3 + 9 + 8 + 2 + 3 + 3 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×728939823393600² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728939823393601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 224082329574 + ... + 224082332826.

It is an arithmetic number, because the mean of its divisors is an integer number (876272263200).

Almost surely, 2^{728939823393600} is an apocalyptic number.

728939823393600 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 728939823393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766564882611200).

728939823393600 is an abundant number, since it is smaller than the sum of its proper divisors (2804189941828800).

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

728939823393600 is a wasteful number, since it uses less digits than its factorization.

728939823393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 728939823393600 in words is "seven hundred twenty-eight trillion, nine hundred thirty-nine billion, eight hundred twenty-three million, three hundred ninety-three thousand, six hundred".