1322784288 has 144 divisors (see below), whose sum is σ = 4325892480. Its totient is φ = 375579648.

The previous prime is 1322784269. The next prime is 1322784293. The reversal of 1322784288 is 8824872231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334708 + ... + 338636.

It is an arithmetic number, because the mean of its divisors is an integer number (30040920).

Almost surely, 2^1322784288 is an apocalyptic number.

1322784288 is a gapful number since it is divisible by the number (18) 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 1322784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162946240).

1322784288 is an abundant number, since it is smaller than the sum of its proper divisors (3003108192).

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

1322784288 is a wasteful number, since it uses less digits than its factorization.

1322784288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4108 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 1322784288 is about 36370.1015670839. The cubic root of 1322784288 is about 1097.7320456556.

The spelling of 1322784288 in words is "one billion, three hundred twenty-two million, seven hundred eighty-four thousand, two hundred eighty-eight".