82767828 has 96 divisors (see below), whose sum is σ = 229178880. Its totient is φ = 22919040.

The previous prime is 82767791. The next prime is 82767829. The reversal of 82767828 is 82876728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82767829) 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, 238351 + ... + 238697.

It is an arithmetic number, because the mean of its divisors is an integer number (2387280).

Almost surely, 2^82767828 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 82767828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114589440).

82767828 is an abundant number, since it is smaller than the sum of its proper divisors (146411052).

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

82767828 is a wasteful number, since it uses less digits than its factorization.

82767828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 82767828 is about 9097.6825620594. The cubic root of 82767828 is about 435.7999601379.

Subtracting 82767828 from its reverse (82876728), we obtain a square (108900 = 330²).

The spelling of 82767828 in words is "eighty-two million, seven hundred sixty-seven thousand, eight hundred twenty-eight".