882121288 has 8 divisors (see below), whose sum is σ = 1653977430. Its totient is φ = 441060640.

The previous prime is 882121283. The next prime is 882121297.

882121288 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 681105604 + 201015684 = 26098^2 + 14178^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is a self number, because there is not a number n which added to its sum of digits gives 882121288.

It is not an unprimeable number, because it can be changed into a prime (882121283) by changing a digit.

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 as a sum of consecutive naturals, namely, 55132573 + ... + 55132588.

Almost surely, 2^882121288 is an apocalyptic number.

It is an amenable number.

882121288 is a deficient number, since it is larger than the sum of its proper divisors (771856142).

882121288 is a wasteful number, since it uses less digits than its factorization.

882121288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110265167 (or 110265163 counting only the distinct ones).

The product of its digits is 32768, while the sum is 40.

The square root of 882121288 is about 29700.5267293360. The cubic root of 882121288 is about 959.0533521263.

The spelling of 882121288 in words is "eight hundred eighty-two million, one hundred twenty-one thousand, two hundred eighty-eight".