82627128 has 80 divisors (see below), whose sum is σ = 236443680. Its totient is φ = 26946432.

The previous prime is 82627117. The next prime is 82627133. The reversal of 82627128 is 82172628.

It is a happy number.

82627128 is a `hidden beast` number, since 8 + 2 + 627 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82627092 and 82627101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29100 + ... + 31812.

It is an arithmetic number, because the mean of its divisors is an integer number (2955546).

Almost surely, 2^82627128 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 82627128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118221840).

82627128 is an abundant number, since it is smaller than the sum of its proper divisors (153816552).

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

82627128 is a wasteful number, since it uses less digits than its factorization.

82627128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2765 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 82627128 is about 9089.9465344962. The cubic root of 82627128 is about 435.5528760807.

The spelling of 82627128 in words is "eighty-two million, six hundred twenty-seven thousand, one hundred twenty-eight".