728227704037680 has 5120 divisors, whose sum is σ = 3488690995200000. Its totient is φ = 137881916928000.

The previous prime is 728227704037667. The next prime is 728227704037681. The reversal of 728227704037680 is 86730407722827.

It is a happy number.

728227704037680 is a `hidden beast` number, since 7 + 2 + 82 + 2 + 7 + 7 + 0 + 403 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (728227704037681) by changing a digit.

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 1023 ways as a sum of consecutive naturals, for example, 1012834080361 + ... + 1012834081079.

It is an arithmetic number, because the mean of its divisors is an integer number (681384960000).

Almost surely, 2^{728227704037680} is an apocalyptic number.

728227704037680 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 728227704037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744345497600000).

728227704037680 is an abundant number, since it is smaller than the sum of its proper divisors (2760463291162320).

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

728227704037680 is a wasteful number, since it uses less digits than its factorization.

728227704037680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 728227704037680 in words is "seven hundred twenty-eight trillion, two hundred twenty-seven billion, seven hundred four million, thirty-seven thousand, six hundred eighty".