21882128 has 20 divisors (see below), whose sum is σ = 44891100. Its totient is φ = 10297344.

The previous prime is 21882101. The next prime is 21882137. The reversal of 21882128 is 82128812.

It can be written as a sum of positive squares in 2 ways, for example, as 13191424 + 8690704 = 3632^2 + 2948^2 .

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 = 21882094 and 21882103.

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 3 ways as a sum of consecutive naturals, for example, 39953 + ... + 40496.

It is an arithmetic number, because the mean of its divisors is an integer number (2244555).

Almost surely, 2^21882128 is an apocalyptic number.

It is an amenable number.

21882128 is an abundant number, since it is smaller than the sum of its proper divisors (23008972).

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

21882128 is a wasteful number, since it uses less digits than its factorization.

21882128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80474 (or 80468 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 21882128 is about 4677.8336866545. The cubic root of 21882128 is about 279.7026094206.

The spelling of 21882128 in words is "twenty-one million, eight hundred eighty-two thousand, one hundred twenty-eight".