1963408128 has 72 divisors (see below), whose sum is σ = 5700601536. Its totient is φ = 594969600.

The previous prime is 1963408121. The next prime is 1963408177. The reversal of 1963408128 is 8218043691.

It is a self number, because there is not a number n which added to its sum of digits gives 1963408128.

It is not an unprimeable number, because it can be changed into a prime (1963408121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107758 + ... + 124653.

Almost surely, 2^1963408128 is an apocalyptic number.

It is an amenable number.

1963408128 is an abundant number, since it is smaller than the sum of its proper divisors (3737193408).

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

1963408128 is a wasteful number, since it uses less digits than its factorization.

1963408128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232441 (or 232427 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1963408128 is about 44310.3614067861. The cubic root of 1963408128 is about 1252.1898952201.

The spelling of 1963408128 in words is "one billion, nine hundred sixty-three million, four hundred eight thousand, one hundred twenty-eight".