728233422022800 has 360 divisors, whose sum is σ = 2537665063806600. Its totient is φ = 193390942617600.

The previous prime is 728233422022759. The next prime is 728233422022817. The reversal of 728233422022800 is 8220224332827.

728233422022800 is a `hidden beast` number, since 7 + 2 + 8 + 2 + 3 + 342 + 20 + 2 + 280 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 286463478253824 + 441769943768976 = 16925232^2 + 21018324^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 841712032 + ... + 842576768.

It is an arithmetic number, because the mean of its divisors is an integer number (7049069621685).

Almost surely, 2^{728233422022800} 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 728233422022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268832531903300).

728233422022800 is an abundant number, since it is smaller than the sum of its proper divisors (1809431641783800).

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

728233422022800 is a wasteful number, since it uses less digits than its factorization.

728233422022800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865731 (or 865717 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 728233422022800 in words is "seven hundred twenty-eight trillion, two hundred thirty-three billion, four hundred twenty-two million, twenty-two thousand, eight hundred".