63448128 has 84 divisors (see below), whose sum is σ = 185044080. Its totient is φ = 20779776.

The previous prime is 63448127. The next prime is 63448141. The reversal of 63448128 is 82184436.

63448128 is a `hidden beast` number, since 634 + 4 + 8 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 63448092 and 63448101.

It is not an unprimeable number, because it can be changed into a prime (63448127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33051 + ... + 34917.

Almost surely, 2^63448128 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 63448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92522040).

63448128 is an abundant number, since it is smaller than the sum of its proper divisors (121595952).

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

63448128 is a wasteful number, since it uses less digits than its factorization.

63448128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1931 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 63448128 is about 7965.4333215463. The cubic root of 63448128 is about 398.8469460268.

The spelling of 63448128 in words is "sixty-three million, four hundred forty-eight thousand, one hundred twenty-eight".