1002748320 has 288 divisors, whose sum is σ = 4038128640. Its totient is φ = 221736960.

The previous prime is 1002748303. The next prime is 1002748333. The reversal of 1002748320 is 238472001.

1002748320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310876 + ... + 314084.

It is an arithmetic number, because the mean of its divisors is an integer number (14021280).

Almost surely, 2^1002748320 is an apocalyptic number.

1002748320 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 1002748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019064320).

1002748320 is an abundant number, since it is smaller than the sum of its proper divisors (3035380320).

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

1002748320 is a wasteful number, since it uses less digits than its factorization.

1002748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1002748320 is about 31666.2015404437. The cubic root of 1002748320 is about 1000.9152686943.

The spelling of 1002748320 in words is "one billion, two million, seven hundred forty-eight thousand, three hundred twenty".