728894681340 has 192 divisors, whose sum is σ = 2392409241600. Its totient is φ = 165740359680.

The previous prime is 728894681329. The next prime is 728894681341. The reversal of 728894681340 is 43186498827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728894681341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3880185 + ... + 4063695.

It is an arithmetic number, because the mean of its divisors is an integer number (12460464800).

Almost surely, 2^728894681340 is an apocalyptic number.

728894681340 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 728894681340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196204620800).

728894681340 is an abundant number, since it is smaller than the sum of its proper divisors (1663514560260).

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

728894681340 is a wasteful number, since it uses less digits than its factorization.

728894681340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183737 (or 183721 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 728894681340 in words is "seven hundred twenty-eight billion, eight hundred ninety-four million, six hundred eighty-one thousand, three hundred forty".