882128808 has 288 divisors, whose sum is σ = 2881288800. Its totient is φ = 241056000.

The previous prime is 882128791. The next prime is 882128809. The reversal of 882128808 is 808821288.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (882128809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14461098 + ... + 14461158.

It is an arithmetic number, because the mean of its divisors is an integer number (10004475).

Almost surely, 2^882128808 is an apocalyptic number.

882128808 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 882128808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440644400).

882128808 is an abundant number, since it is smaller than the sum of its proper divisors (1999159992).

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

882128808 is a wasteful number, since it uses less digits than its factorization.

882128808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 882128808 is about 29700.6533261476. The cubic root of 882128808 is about 959.0560773981.

It can be divided in two parts, 88212 and 8808, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 882128808 in words is "eight hundred eighty-two million, one hundred twenty-eight thousand, eight hundred eight".