728443686672 has 120 divisors (see below), whose sum is σ = 2197304613504. Its totient is φ = 223947009792.

The previous prime is 728443686637. The next prime is 728443686683. The reversal of 728443686672 is 276686344827.

It is a happy number.

728443686672 is a `hidden beast` number, since 7 + 2 + 8 + 443 + 68 + 66 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2058153 + ... + 2385975.

Almost surely, 2^728443686672 is an apocalyptic number.

728443686672 is a gapful number since it is divisible by the number (72) 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 728443686672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098652306752).

728443686672 is an abundant number, since it is smaller than the sum of its proper divisors (1468860926832).

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

728443686672 is a wasteful number, since it uses less digits than its factorization.

728443686672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329037 (or 329028 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 728443686672 in words is "seven hundred twenty-eight billion, four hundred forty-three million, six hundred eighty-six thousand, six hundred seventy-two".