882528768 has 240 divisors, whose sum is σ = 2903224896. Its totient is φ = 255467520.

The previous prime is 882528763. The next prime is 882528797. The reversal of 882528768 is 867825288.

It is not an unprimeable number, because it can be changed into a prime (882528763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165446 + ... + 1166202.

Almost surely, 2^882528768 is an apocalyptic number.

882528768 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 882528768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451612448).

882528768 is an abundant number, since it is smaller than the sum of its proper divisors (2020696128).

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

882528768 is a wasteful number, since it uses less digits than its factorization.

882528768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 882528768 is about 29707.3857483286. The cubic root of 882528768 is about 959.2010018532.

It can be divided in two parts, 88252 and 8768, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 882528768 in words is "eight hundred eighty-two million, five hundred twenty-eight thousand, seven hundred sixty-eight".