82670328 has 128 divisors (see below), whose sum is σ = 252000000. Its totient is φ = 24955776.

The previous prime is 82670323. The next prime is 82670333. The reversal of 82670328 is 82307628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82670323) and next prime (82670333).

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 = 82670292 and 82670301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82670323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165423 + ... + 165921.

It is an arithmetic number, because the mean of its divisors is an integer number (1968750).

Almost surely, 2^82670328 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 82670328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000000).

82670328 is an abundant number, since it is smaller than the sum of its proper divisors (169329672).

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

82670328 is a wasteful number, since it uses less digits than its factorization.

82670328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 82670328 is about 9092.3224755835. The cubic root of 82670328 is about 435.6287696622.

The spelling of 82670328 in words is "eighty-two million, six hundred seventy thousand, three hundred twenty-eight".