63282128 has 80 divisors (see below), whose sum is σ = 154156800. Its totient is φ = 25006464.

The previous prime is 63282097. The next prime is 63282133. The reversal of 63282128 is 82128236.

It is a junction number, because it is equal to n+sod(n) for n = 63282094 and 63282103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70901 + ... + 71787.

It is an arithmetic number, because the mean of its divisors is an integer number (1926960).

Almost surely, 2^63282128 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 63282128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

63282128 is an abundant number, since it is smaller than the sum of its proper divisors (90874672).

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

63282128 is a wasteful number, since it uses less digits than its factorization.

63282128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 909 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 63282128 is about 7955.0064739131. The cubic root of 63282128 is about 398.4988064260.

The spelling of 63282128 in words is "sixty-three million, two hundred eighty-two thousand, one hundred twenty-eight".