728102228832 has 1152 divisors, whose sum is σ = 2553436569600. Its totient is φ = 201180672000.

The previous prime is 728102228813. The next prime is 728102228857. The reversal of 728102228832 is 238822201827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5733088353 + ... + 5733088479.

It is an arithmetic number, because the mean of its divisors is an integer number (2216524800).

Almost surely, 2^728102228832 is an apocalyptic number.

728102228832 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 728102228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276718284800).

728102228832 is an abundant number, since it is smaller than the sum of its proper divisors (1825334340768).

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

728102228832 is a wasteful number, since it uses less digits than its factorization.

728102228832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 728102228832 in words is "seven hundred twenty-eight billion, one hundred two million, two hundred twenty-eight thousand, eight hundred thirty-two".