882029088 has 240 divisors, whose sum is σ = 2826059544. Its totient is φ = 268738560.

The previous prime is 882029063. The next prime is 882029117. The reversal of 882029088 is 880920288.

It can be written as a sum of positive squares in 4 ways, for example, as 877818384 + 4210704 = 29628^2 + 2052^2 .

It is a super-2 number, since 2×882029088² = 1555950624156223488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1630098 + ... + 1630638.

Almost surely, 2^882029088 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 882029088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413029772).

882029088 is an abundant number, since it is smaller than the sum of its proper divisors (1944030456).

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

882029088 is a wasteful number, since it uses less digits than its factorization.

882029088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 882029088 is about 29698.9745277510. The cubic root of 882029088 is about 959.0199372958.

The spelling of 882029088 in words is "eight hundred eighty-two million, twenty-nine thousand, eighty-eight".