728432520192000 has 5376 divisors, whose sum is σ = 3150788290191360. Its totient is φ = 160186761216000.

The previous prime is 728432520191977. The next prime is 728432520192011. The reversal of 728432520192000 is 291025234827.

728432520192000 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 32 + 520 + 1 + 92 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×728432520192000² (a number of 31 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5240521727931 + ... + 5240521728069.

It is an arithmetic number, because the mean of its divisors is an integer number (586084131360).

Almost surely, 2^{728432520192000} 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 728432520192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575394145095680).

728432520192000 is an abundant number, since it is smaller than the sum of its proper divisors (2422355769999360).

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

728432520192000 is a wasteful number, since it uses less digits than its factorization.

728432520192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 728432520192000 in words is "seven hundred twenty-eight trillion, four hundred thirty-two billion, five hundred twenty million, one hundred ninety-two thousand".