882294492288 has 128 divisors (see below), whose sum is σ = 2557944771840. Its totient is φ = 267226444800.

The previous prime is 882294492269. The next prime is 882294492307.

882294492288 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (882294492269) and next prime (882294492307).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×882294492288² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 8442531 + ... + 8546397.

It is an arithmetic number, because the mean of its divisors is an integer number (19983943530).

Almost surely, 2^882294492288 is an apocalyptic number.

882294492288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882294492288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278972385920).

882294492288 is an abundant number, since it is smaller than the sum of its proper divisors (1675650279552).

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

882294492288 is a wasteful number, since it uses less digits than its factorization.

882294492288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105906 (or 105894 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 66.

The spelling of 882294492288 in words is "eight hundred eighty-two billion, two hundred ninety-four million, four hundred ninety-two thousand, two hundred eighty-eight".