65882128 has 40 divisors (see below), whose sum is σ = 137991168. Its totient is φ = 30291072.

The previous prime is 65882087. The next prime is 65882137. The reversal of 65882128 is 82128856.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 79251 + ... + 80077.

Almost surely, 2^65882128 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 65882128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995584).

65882128 is an abundant number, since it is smaller than the sum of its proper divisors (72109040).

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

65882128 is a wasteful number, since it uses less digits than its factorization.

65882128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its digits is 61440, while the sum is 40.

The square root of 65882128 is about 8116.7806425947. The cubic root of 65882128 is about 403.8832783742.

The spelling of 65882128 in words is "sixty-five million, eight hundred eighty-two thousand, one hundred twenty-eight".