82228864 has 128 divisors (see below), whose sum is σ = 190356480. Its totient is φ = 35143680.

The previous prime is 82228859. The next prime is 82228871. The reversal of 82228864 is 46882228.

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

It is a congruent number.

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, 1551462 + ... + 1551514.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 2^82228864 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 82228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95178240).

82228864 is an abundant number, since it is smaller than the sum of its proper divisors (108127616).

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

82228864 is a wasteful number, since it uses less digits than its factorization.

82228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 82228864 is about 9068.0132333384. The cubic root of 82228864 is about 434.8519582550.

The spelling of 82228864 in words is "eighty-two million, two hundred twenty-eight thousand, eight hundred sixty-four".