1021728000 has 288 divisors, whose sum is σ = 3520258560. Its totient is φ = 262348800.

The previous prime is 1021727969. The next prime is 1021728013. The reversal of 1021728000 is 8271201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783817 + ... + 2784183.

It is an arithmetic number, because the mean of its divisors is an integer number (12223120).

Almost surely, 2^1021728000 is an apocalyptic number.

1021728000 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 1021728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760129280).

1021728000 is an abundant number, since it is smaller than the sum of its proper divisors (2498530560).

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

1021728000 is an equidigital number, since it uses as much as digits as its factorization.

1021728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1021728000 is about 31964.4802867183. The cubic root of 1021728000 is about 1007.1908346226.

Adding to 1021728000 its reverse (8271201), we get a palindrome (1029999201).

The spelling of 1021728000 in words is "one billion, twenty-one million, seven hundred twenty-eight thousand".