1328037984 has 576 divisors, whose sum is σ = 5148057600. Its totient is φ = 329204736.

The previous prime is 1328037967. The next prime is 1328038001. The reversal of 1328037984 is 4897308231.

It is an interprime number because it is at equal distance from previous prime (1328037967) and next prime (1328038001).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10456929 + ... + 10457055.

It is an arithmetic number, because the mean of its divisors is an integer number (8937600).

Almost surely, 2^1328037984 is an apocalyptic number.

1328037984 is a gapful number since it is divisible by the number (14) 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 1328037984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

1328037984 is an abundant number, since it is smaller than the sum of its proper divisors (3820019616).

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

1328037984 is a wasteful number, since it uses less digits than its factorization.

1328037984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1328037984 is about 36442.2554735571. The cubic root of 1328037984 is about 1099.1834115839.

The spelling of 1328037984 in words is "one billion, three hundred twenty-eight million, thirty-seven thousand, nine hundred eighty-four".