728840851200 has 3240 divisors, whose sum is σ = 3654419852160. Its totient is φ = 138848256000.

The previous prime is 728840851159. The next prime is 728840851237. The reversal of 728840851200 is 2158048827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 23510995185 + ... + 23510995215.

Almost surely, 2^728840851200 is an apocalyptic number.

728840851200 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 728840851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827209926080).

728840851200 is an abundant number, since it is smaller than the sum of its proper divisors (2925579000960).

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

728840851200 is a wasteful number, since it uses less digits than its factorization.

728840851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 728840851200 in words is "seven hundred twenty-eight billion, eight hundred forty million, eight hundred fifty-one thousand, two hundred".