963228672 has 396 divisors, whose sum is σ = 3397692480. Its totient is φ = 271724544.

The previous prime is 963228667. The next prime is 963228691. The reversal of 963228672 is 276822369.

963228672 is a `hidden beast` number, since 9 + 632 + 2 + 8 + 6 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (435456) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12192729 + ... + 12192807.

Almost surely, 2^963228672 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 963228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698846240).

963228672 is an abundant number, since it is smaller than the sum of its proper divisors (2434463808).

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

963228672 is an equidigital number, since it uses as much as digits as its factorization.

963228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 963228672 is about 31035.9255057748. The cubic root of 963228672 is about 987.5895074986.

The spelling of 963228672 in words is "nine hundred sixty-three million, two hundred twenty-eight thousand, six hundred seventy-two".