1328052768 has 96 divisors (see below), whose sum is σ = 4004582400. Its totient is φ = 377498880.

The previous prime is 1328052743. The next prime is 1328052793. The reversal of 1328052768 is 8672508231.

It is an interprime number because it is at equal distance from previous prime (1328052743) and next prime (1328052793).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 128763 + ... + 138693.

It is an arithmetic number, because the mean of its divisors is an integer number (41714400).

Almost surely, 2^1328052768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002291200).

1328052768 is an abundant number, since it is smaller than the sum of its proper divisors (2676529632).

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

1328052768 is a wasteful number, since it uses less digits than its factorization.

1328052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10150 (or 10142 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1328052768 is about 36442.4583144442. The cubic root of 1328052768 is about 1099.1874903496.

The spelling of 1328052768 in words is "one billion, three hundred twenty-eight million, fifty-two thousand, seven hundred sixty-eight".