82695228 has 96 divisors (see below), whose sum is σ = 248414208. Its totient is φ = 20779200.

The previous prime is 82695187. The next prime is 82695233. The reversal of 82695228 is 82259628.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 82695228.

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, 27201 + ... + 30087.

It is an arithmetic number, because the mean of its divisors is an integer number (2587648).

Almost surely, 2^82695228 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 82695228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124207104).

82695228 is an abundant number, since it is smaller than the sum of its proper divisors (165718980).

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

82695228 is a wasteful number, since it uses less digits than its factorization.

82695228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2941 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 82695228 is about 9093.6916596067. The cubic root of 82695228 is about 435.6725018684.

Subtracting from 82695228 its reverse (82259628), we obtain a square (435600 = 660²).

The spelling of 82695228 in words is "eighty-two million, six hundred ninety-five thousand, two hundred twenty-eight".