728623378784 has 192 divisors, whose sum is σ = 1797154128000. Its totient is φ = 283533508608.

The previous prime is 728623378757. The next prime is 728623378789. The reversal of 728623378784 is 487873326827.

It is a super-2 number, since 2×728623378784² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 728623378784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728623378789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211254692 + ... + 211258140.

It is an arithmetic number, because the mean of its divisors is an integer number (9360177750).

Almost surely, 2^728623378784 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 728623378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898577064000).

728623378784 is an abundant number, since it is smaller than the sum of its proper divisors (1068530749216).

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

728623378784 is a wasteful number, since it uses less digits than its factorization.

728623378784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5417 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 65.

The spelling of 728623378784 in words is "seven hundred twenty-eight billion, six hundred twenty-three million, three hundred seventy-eight thousand, seven hundred eighty-four".