728367991603200 has 6480 divisors, whose sum is σ = 3215342791140480. Its totient is φ = 162773870837760.

The previous prime is 728367991603151. The next prime is 728367991603223. The reversal of 728367991603200 is 2306199763827.

728367991603200 is a `hidden beast` number, since 7 + 2 + 8 + 3 + 67 + 99 + 160 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13742792294374 + ... + 13742792294426.

It is an arithmetic number, because the mean of its divisors is an integer number (496194875176).

Almost surely, 2^{728367991603200} 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 728367991603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607671395570240).

728367991603200 is an abundant number, since it is smaller than the sum of its proper divisors (2486974799537280).

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

728367991603200 is a wasteful number, since it uses less digits than its factorization.

728367991603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 728367991603200 in words is "seven hundred twenty-eight trillion, three hundred sixty-seven billion, nine hundred ninety-one million, six hundred three thousand, two hundred".