82851288 has 64 divisors (see below), whose sum is σ = 229121760. Its totient is φ = 24800256.

The previous prime is 82851287. The next prime is 82851299. The reversal of 82851288 is 88215828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82851287) 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, 7956 + ... + 15132.

Almost surely, 2^82851288 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 82851288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114560880).

82851288 is an abundant number, since it is smaller than the sum of its proper divisors (146270472).

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

82851288 is a wasteful number, since it uses less digits than its factorization.

82851288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7232 counting only the distinct ones).

The product of its digits is 81920, while the sum is 42.

The square root of 82851288 is about 9102.2682887289. The cubic root of 82851288 is about 435.9463924215.

The spelling of 82851288 in words is "eighty-two million, eight hundred fifty-one thousand, two hundred eighty-eight".