1631968128 has 384 divisors, whose sum is σ = 5860512000. Its totient is φ = 444939264.

The previous prime is 1631968109. The next prime is 1631968171. The reversal of 1631968128 is 8218691361.

1631968128 is a `hidden beast` number, since 1 + 631 + 9 + 6 + 8 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 3894703 + ... + 3895121.

It is an arithmetic number, because the mean of its divisors is an integer number (15261750).

Almost surely, 2^1631968128 is an apocalyptic number.

1631968128 is a gapful number since it is divisible by the number (18) 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 1631968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

1631968128 is an abundant number, since it is smaller than the sum of its proper divisors (4228543872).

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

1631968128 is a wasteful number, since it uses less digits than its factorization.

1631968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1631968128 is about 40397.6252767412. The cubic root of 1631968128 is about 1177.3453989892.

The spelling of 1631968128 in words is "one billion, six hundred thirty-one million, nine hundred sixty-eight thousand, one hundred twenty-eight".