728922240000 has 1320 divisors, whose sum is σ = 2816538044320. Its totient is φ = 188116992000.

The previous prime is 728922239993. The next prime is 728922240047. The reversal of 728922240000 is 42229827.

It is a happy number.

728922240000 is a `hidden beast` number, since 7 + 28 + 9 + 222 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6687359946 + ... + 6687360054.

Almost surely, 2^728922240000 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 728922240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408269022160).

728922240000 is an abundant number, since it is smaller than the sum of its proper divisors (2087615804320).

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

728922240000 is an equidigital number, since it uses as much as digits as its factorization.

728922240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 728922240000 its reverse (42229827), we get a palindrome (728964469827).

The spelling of 728922240000 in words is "seven hundred twenty-eight billion, nine hundred twenty-two million, two hundred forty thousand".