728156949811200 has 4212 divisors, whose sum is σ = 3430119528234048. Its totient is φ = 144533304115200.

The previous prime is 728156949811199. The next prime is 728156949811223. The reversal of 728156949811200 is 2118949651827.

728156949811200 is a `hidden beast` number, since 7 + 2 + 8 + 1 + 569 + 49 + 8 + 1 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 315083058045 + ... + 315083060355.

Almost surely, 2^{728156949811200} is an apocalyptic number.

728156949811200 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 728156949811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715059764117024).

728156949811200 is an abundant number, since it is smaller than the sum of its proper divisors (2701962578422848).

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

728156949811200 is a wasteful number, since it uses less digits than its factorization.

728156949811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 728156949811200 in words is "seven hundred twenty-eight trillion, one hundred fifty-six billion, nine hundred forty-nine million, eight hundred eleven thousand, two hundred".