1328086624 has 72 divisors (see below), whose sum is σ = 2845183320. Its totient is φ = 608532480.

The previous prime is 1328086609. The next prime is 1328086651. The reversal of 1328086624 is 4266808231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583152 + ... + 585424.

It is an arithmetic number, because the mean of its divisors is an integer number (39516435).

Almost surely, 2^1328086624 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 1328086624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422591660).

1328086624 is an abundant number, since it is smaller than the sum of its proper divisors (1517096696).

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

1328086624 is a wasteful number, since it uses less digits than its factorization.

1328086624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 1328086624 is about 36442.9228246034. The cubic root of 1328086624 is about 1099.1968307855.

The spelling of 1328086624 in words is "one billion, three hundred twenty-eight million, eighty-six thousand, six hundred twenty-four".