728945308800 has 960 divisors, whose sum is σ = 2812767471360. Its totient is φ = 185678438400.

The previous prime is 728945308727. The next prime is 728945308829. The reversal of 728945308800 is 8803549827.

It is a happy number.

728945308800 is a `hidden beast` number, since 7 + 28 + 9 + 4 + 530 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×728945308800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 666921054 + ... + 666922146.

It is an arithmetic number, because the mean of its divisors is an integer number (2929966116).

Almost surely, 2^728945308800 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 728945308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406383735680).

728945308800 is an abundant number, since it is smaller than the sum of its proper divisors (2083822162560).

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

728945308800 is a wasteful number, since it uses less digits than its factorization.

728945308800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 728945308800 in words is "seven hundred twenty-eight billion, nine hundred forty-five million, three hundred eight thousand, eight hundred".