1328088960 has 640 divisors, whose sum is σ = 5518355040. Its totient is φ = 300810240.

The previous prime is 1328088953. The next prime is 1328088967. The reversal of 1328088960 is 698808231.

It is an interprime number because it is at equal distance from previous prime (1328088953) and next prime (1328088967).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328088967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9694012 + ... + 9694148.

Almost surely, 2^1328088960 is an apocalyptic number.

1328088960 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 1328088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759177520).

1328088960 is an abundant number, since it is smaller than the sum of its proper divisors (4190266080).

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

1328088960 is a wasteful number, since it uses less digits than its factorization.

1328088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1328088960 is about 36442.9548747080. The cubic root of 1328088960 is about 1099.1974752521.

The spelling of 1328088960 in words is "one billion, three hundred twenty-eight million, eighty-eight thousand, nine hundred sixty".