882943128 has 96 divisors (see below), whose sum is σ = 2464862400. Its totient is φ = 285379584.

The previous prime is 882943121. The next prime is 882943133. The reversal of 882943128 is 821349288.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882943121) 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 in 23 ways as a sum of consecutive naturals, for example, 381238 + ... + 383546.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650).

Almost surely, 2^882943128 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 882943128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232431200).

882943128 is an abundant number, since it is smaller than the sum of its proper divisors (1581919272).

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

882943128 is a wasteful number, since it uses less digits than its factorization.

882943128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2474 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 882943128 is about 29714.3589532064. The cubic root of 882943128 is about 959.3510979385.

The spelling of 882943128 in words is "eight hundred eighty-two million, nine hundred forty-three thousand, one hundred twenty-eight".