882828288 has 176 divisors, whose sum is σ = 2688284160. Its totient is φ = 285990912.

The previous prime is 882828253. The next prime is 882828329.

882828288 is a `hidden beast` number, since 88 + 282 + 8 + 288 = 666.

882828288 is nontrivially palindromic in base 10.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022545 + ... + 1023407.

Almost surely, 2^882828288 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 882828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344142080).

882828288 is an abundant number, since it is smaller than the sum of its proper divisors (1805455872).

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

882828288 is a wasteful number, since it uses less digits than its factorization.

882828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 905 counting only the distinct ones).

The product of its digits is 2097152, while the sum is 54.

The square root of 882828288 is about 29712.4264912848. The cubic root of 882828288 is about 959.3095034676.

The spelling of 882828288 in words is "eight hundred eighty-two million, eight hundred twenty-eight thousand, two hundred eighty-eight".