882263448 has 128 divisors (see below), whose sum is σ = 2682720000. Its totient is φ = 266434560.

The previous prime is 882263401. The next prime is 882263449. The reversal of 882263448 is 844362288.

882263448 is a `hidden beast` number, since 8 + 8 + 2 + 2 + 634 + 4 + 8 = 666.

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 (882263449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066411 + ... + 1067237.

It is an arithmetic number, because the mean of its divisors is an integer number (20958750).

Almost surely, 2^882263448 is an apocalyptic number.

882263448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882263448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341360000).

882263448 is an abundant number, since it is smaller than the sum of its proper divisors (1800456552).

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

882263448 is a wasteful number, since it uses less digits than its factorization.

882263448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 882263448 is about 29702.9198564720. The cubic root of 882263448 is about 959.1048687386.

The spelling of 882263448 in words is "eight hundred eighty-two million, two hundred sixty-three thousand, four hundred forty-eight".