1445728000 has 72 divisors (see below), whose sum is σ = 3601568880. Its totient is φ = 578278400.

The previous prime is 1445727971. The next prime is 1445728003. The reversal of 1445728000 is 8275441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445728003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9411 + ... + 54589.

It is an arithmetic number, because the mean of its divisors is an integer number (50021790).

Almost surely, 2^1445728000 is an apocalyptic number.

1445728000 is a gapful number since it is divisible by the number (10) 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 1445728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800784440).

1445728000 is an abundant number, since it is smaller than the sum of its proper divisors (2155840880).

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

1445728000 is an frugal number, since it uses more digits than its factorization.

1445728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45210 (or 45186 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1445728000 is about 38022.7300440145. The cubic root of 1445728000 is about 1130.7385466150.

The spelling of 1445728000 in words is "one billion, four hundred forty-five million, seven hundred twenty-eight thousand".