963128448 has 128 divisors (see below), whose sum is σ = 2909121600. Its totient is φ = 313528320.

The previous prime is 963128437. The next prime is 963128461. The reversal of 963128448 is 844821369.

It is a happy number.

963128448 is a `hidden beast` number, since 9 + 631 + 2 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145368 + ... + 151848.

Almost surely, 2^963128448 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 963128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454560800).

963128448 is an abundant number, since it is smaller than the sum of its proper divisors (1945993152).

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

963128448 is a wasteful number, since it uses less digits than its factorization.

963128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6529 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 963128448 is about 31034.3108188340. The cubic root of 963128448 is about 987.5552533950. Note that the first 3 decimals are identical.

The spelling of 963128448 in words is "nine hundred sixty-three million, one hundred twenty-eight thousand, four hundred forty-eight".