728129791800 has 576 divisors, whose sum is σ = 2557122048000. Its totient is φ = 185473152000.

The previous prime is 728129791783. The next prime is 728129791801. The reversal of 728129791800 is 8197921827.

It is a super-2 number, since 2×728129791800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728129791801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2686825665 + ... + 2686825935.

It is an arithmetic number, because the mean of its divisors is an integer number (4439448000).

Almost surely, 2^728129791800 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 728129791800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278561024000).

728129791800 is an abundant number, since it is smaller than the sum of its proper divisors (1828992256200).

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

728129791800 is a wasteful number, since it uses less digits than its factorization.

728129791800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 728129791800 in words is "seven hundred twenty-eight billion, one hundred twenty-nine million, seven hundred ninety-one thousand, eight hundred".