882749952 has 120 divisors (see below), whose sum is σ = 2911736256. Its totient is φ = 252205056.

The previous prime is 882749951. The next prime is 882749953. The reversal of 882749952 is 259947288.

882749952 is a `hidden beast` number, since 88 + 27 + 499 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (882749951) and next prime (882749953).

It is not an unprimeable number, because it can be changed into a prime (882749951) 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, 18573 + ... + 45939.

Almost surely, 2^882749952 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 882749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455868128).

882749952 is an abundant number, since it is smaller than the sum of its proper divisors (2028986304).

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

882749952 is a wasteful number, since it uses less digits than its factorization.

882749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27398 (or 27379 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 882749952 is about 29711.1082257125. The cubic root of 882749952 is about 959.2811284924.

The spelling of 882749952 in words is "eight hundred eighty-two million, seven hundred forty-nine thousand, nine hundred fifty-two".