1328617080 has 448 divisors, whose sum is σ = 5363919360. Its totient is φ = 289453824.

The previous prime is 1328617063. The next prime is 1328617109. The reversal of 1328617080 is 807168231.

1328617080 is a `hidden beast` number, since 1 + 32 + 8 + 617 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4694619 + ... + 4694901.

Almost surely, 2^1328617080 is an apocalyptic number.

1328617080 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 1328617080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681959680).

1328617080 is an abundant number, since it is smaller than the sum of its proper divisors (4035302280).

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

1328617080 is a wasteful number, since it uses less digits than its factorization.

1328617080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1328617080 is about 36450.1999994513. The cubic root of 1328617080 is about 1099.3431560657.

The spelling of 1328617080 in words is "one billion, three hundred twenty-eight million, six hundred seventeen thousand, eighty".