728879923200 has 1632 divisors, whose sum is σ = 3047205716352. Its totient is φ = 150994944000.

The previous prime is 728879923169. The next prime is 728879923229. The reversal of 728879923200 is 2329978827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11948851170 + ... + 11948851230.

Almost surely, 2^728879923200 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 728879923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523602858176).

728879923200 is an abundant number, since it is smaller than the sum of its proper divisors (2318325793152).

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

728879923200 is a wasteful number, since it uses less digits than its factorization.

728879923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 728879923200 in words is "seven hundred twenty-eight billion, eight hundred seventy-nine million, nine hundred twenty-three thousand, two hundred".