1328415088 has 360 divisors, whose sum is σ = 3827661264. Its totient is φ = 438681600.

The previous prime is 1328415079. The next prime is 1328415113. The reversal of 1328415088 is 8805148231.

It is a self number, because there is not a number n which added to its sum of digits gives 1328415088.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 32400348 + ... + 32400388.

Almost surely, 2^1328415088 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 1328415088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913830632).

1328415088 is an abundant number, since it is smaller than the sum of its proper divisors (2499246176).

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

1328415088 is a wasteful number, since it uses less digits than its factorization.

1328415088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 1328415088 is about 36447.4291000065. The cubic root of 1328415088 is about 1099.2874415486.

The spelling of 1328415088 in words is "one billion, three hundred twenty-eight million, four hundred fifteen thousand, eighty-eight".