1328193984 has 84 divisors (see below), whose sum is σ = 3805388376. Its totient is φ = 408665088.

The previous prime is 1328193973. The next prime is 1328193991. The reversal of 1328193984 is 4893918231.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 11982 + ... + 52914.

Almost surely, 2^1328193984 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 1328193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902694188).

1328193984 is an abundant number, since it is smaller than the sum of its proper divisors (2477194392).

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

1328193984 is a wasteful number, since it uses less digits than its factorization.

1328193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40974 (or 40951 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 1328193984 is about 36444.3957831653. The cubic root of 1328193984 is about 1099.2264489821.

The spelling of 1328193984 in words is "one billion, three hundred twenty-eight million, one hundred ninety-three thousand, nine hundred eighty-four".