82228944 has 160 divisors (see below), whose sum is σ = 255983616. Its totient is φ = 22256640.

The previous prime is 82228921. The next prime is 82228973. The reversal of 82228944 is 44982228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647409 + ... + 647535.

Almost surely, 2^82228944 is an apocalyptic number.

82228944 is a gapful number since it is divisible by the number (84) 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 82228944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991808).

82228944 is an abundant number, since it is smaller than the sum of its proper divisors (173754672).

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

82228944 is a wasteful number, since it uses less digits than its factorization.

82228944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 82228944 is about 9068.0176444469. The cubic root of 82228944 is about 434.8520992766.

The spelling of 82228944 in words is "eighty-two million, two hundred twenty-eight thousand, nine hundred forty-four".