82700728 has 32 divisors (see below), whose sum is σ = 170760960. Its totient is φ = 37235680.

The previous prime is 82700701. The next prime is 82700771.

82700728 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82700693 and 82700702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5025 + ... + 13807.

It is an arithmetic number, because the mean of its divisors is an integer number (5336280).

Almost surely, 2^82700728 is an apocalyptic number.

82700728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82700728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85380480).

82700728 is an abundant number, since it is smaller than the sum of its proper divisors (88060232).

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

82700728 is a wasteful number, since it uses less digits than its factorization.

82700728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 82700728 is about 9093.9940620170. The cubic root of 82700728 is about 435.6821604090.

The spelling of 82700728 in words is "eighty-two million, seven hundred thousand, seven hundred twenty-eight".