882022220288 has 80 divisors (see below), whose sum is σ = 1937210251680. Its totient is φ = 397858406400.

The previous prime is 882022220279. The next prime is 882022220291.

It is a happy number.

882022220288 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140048 + ... + 1335536.

It is an arithmetic number, because the mean of its divisors is an integer number (24215128146).

Almost surely, 2^882022220288 is an apocalyptic number.

882022220288 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 882022220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968605125840).

882022220288 is an abundant number, since it is smaller than the sum of its proper divisors (1055188031392).

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

882022220288 is a wasteful number, since it uses less digits than its factorization.

882022220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195649 (or 1195633 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

It can be divided in two parts, 8 and 82022220288, that multiplied together give a square (656177762304 = 810048²).

The spelling of 882022220288 in words is "eight hundred eighty-two billion, twenty-two million, two hundred twenty thousand, two hundred eighty-eight".