728433121080 has 384 divisors, whose sum is σ = 2643786432000. Its totient is φ = 157261077504.

The previous prime is 728433121079. The next prime is 728433121093. The reversal of 728433121080 is 80121334827.

It is a super-2 number, since 2×728433121080² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105827319 + ... + 105834201.

It is an arithmetic number, because the mean of its divisors is an integer number (6884860500).

Almost surely, 2^728433121080 is an apocalyptic number.

728433121080 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 728433121080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321893216000).

728433121080 is an abundant number, since it is smaller than the sum of its proper divisors (1915353310920).

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

728433121080 is a wasteful number, since it uses less digits than its factorization.

728433121080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7291 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 728433121080 in words is "seven hundred twenty-eight billion, four hundred thirty-three million, one hundred twenty-one thousand, eighty".