82274628 has 48 divisors (see below), whose sum is σ = 207615744. Its totient is φ = 25259520.

The previous prime is 82274627. The next prime is 82274639. The reversal of 82274628 is 82647228.

It is a super-2 number, since 2×82274628² = 13538228825076768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82274627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5298 + ... + 13878.

It is an arithmetic number, because the mean of its divisors is an integer number (4325328).

Almost surely, 2^82274628 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 82274628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103807872).

82274628 is an abundant number, since it is smaller than the sum of its proper divisors (125341116).

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

82274628 is a wasteful number, since it uses less digits than its factorization.

82274628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652 (or 8650 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 82274628 is about 9070.5362575760. The cubic root of 82274628 is about 434.9326147436.

The spelling of 82274628 in words is "eighty-two million, two hundred seventy-four thousand, six hundred twenty-eight".