882855288 has 240 divisors, whose sum is σ = 3020537520. Its totient is φ = 235187712.

The previous prime is 882855277. The next prime is 882855307. The reversal of 882855288 is 882558288.

882855288 is a `hidden beast` number, since 8 + 8 + 2 + 8 + 552 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3276800) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8250931 + ... + 8251037.

It is an arithmetic number, because the mean of its divisors is an integer number (12585573).

Almost surely, 2^882855288 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 882855288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510268760).

882855288 is an abundant number, since it is smaller than the sum of its proper divisors (2137682232).

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

882855288 is a wasteful number, since it uses less digits than its factorization.

882855288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 136 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The square root of 882855288 is about 29712.8808431630. The cubic root of 882855288 is about 959.3192830562.

The spelling of 882855288 in words is "eight hundred eighty-two million, eight hundred fifty-five thousand, two hundred eighty-eight".