882993888 has 144 divisors (see below), whose sum is σ = 2931102720. Its totient is φ = 246889728.

The previous prime is 882993877. The next prime is 882993893. The reversal of 882993888 is 888399288.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90093 + ... + 99411.

It is an arithmetic number, because the mean of its divisors is an integer number (20354880).

Almost surely, 2^882993888 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 882993888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465551360).

882993888 is an abundant number, since it is smaller than the sum of its proper divisors (2048108832).

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

882993888 is a wasteful number, since it uses less digits than its factorization.

882993888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9378 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The square root of 882993888 is about 29715.2130734410. The cubic root of 882993888 is about 959.3694818061.

The spelling of 882993888 in words is "eight hundred eighty-two million, nine hundred ninety-three thousand, eight hundred eighty-eight".