882229248 has 180 divisors, whose sum is σ = 2644427968. Its totient is φ = 283115520.

The previous prime is 882229241. The next prime is 882229253. The reversal of 882229248 is 842922288.

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 (882229241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4571040 + ... + 4571232.

Almost surely, 2^882229248 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 882229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322213984).

882229248 is an abundant number, since it is smaller than the sum of its proper divisors (1762198720).

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

882229248 is a wasteful number, since it uses less digits than its factorization.

882229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 229 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 882229248 is about 29702.3441499152. The cubic root of 882229248 is about 959.0924756866.

The spelling of 882229248 in words is "eight hundred eighty-two million, two hundred twenty-nine thousand, two hundred forty-eight".