728953344000 has 1872 divisors, whose sum is σ = 3219146351616. Its totient is φ = 161243136000.

The previous prime is 728953343977. The next prime is 728953344079. The reversal of 728953344000 is 443359827.

728953344000 is a `hidden beast` number, since 72 + 8 + 9 + 533 + 4 + 40 + 0 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23514623985 + ... + 23514624015.

Almost surely, 2^728953344000 is an apocalyptic number.

728953344000 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 728953344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609573175808).

728953344000 is an abundant number, since it is smaller than the sum of its proper divisors (2490193007616).

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

728953344000 is an frugal number, since it uses more digits than its factorization.

728953344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 728953344000 in words is "seven hundred twenty-eight billion, nine hundred fifty-three million, three hundred forty-four thousand".