728829619200 has 264 divisors, whose sum is σ = 2676469039760. Its totient is φ = 194354380800.

The previous prime is 728829619171. The next prime is 728829619213. The reversal of 728829619200 is 2916928827.

728829619200 is a `hidden beast` number, since 72 + 88 + 296 + 1 + 9 + 200 = 666.

It is a super-2 number, since 2×728829619200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163980 + ... + 1218420.

Almost surely, 2^728829619200 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 728829619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338234519880).

728829619200 is an abundant number, since it is smaller than the sum of its proper divisors (1947639420560).

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

728829619200 is a wasteful number, since it uses less digits than its factorization.

728829619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054480 (or 1054451 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 728829619200 in words is "seven hundred twenty-eight billion, eight hundred twenty-nine million, six hundred nineteen thousand, two hundred".