1284928320 has 224 divisors, whose sum is σ = 4429353600. Its totient is φ = 313712640.

The previous prime is 1284928301. The next prime is 1284928321. The reversal of 1284928320 is 238294821.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284928321) by changing a digit.

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, 1859175 + ... + 1859865.

It is an arithmetic number, because the mean of its divisors is an integer number (19773900).

Almost surely, 2^1284928320 is an apocalyptic number.

1284928320 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 1284928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214676800).

1284928320 is an abundant number, since it is smaller than the sum of its proper divisors (3144425280).

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

1284928320 is a wasteful number, since it uses less digits than its factorization.

1284928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1284928320 is about 35845.8968363187. The cubic root of 1284928320 is about 1087.1587535472.

The spelling of 1284928320 in words is "one billion, two hundred eighty-four million, nine hundred twenty-eight thousand, three hundred twenty".