82876288 has 48 divisors (see below), whose sum is σ = 181513080. Its totient is φ = 37664000.

The previous prime is 82876279. The next prime is 82876303. The reversal of 82876288 is 88267828.

It is a super-2 number, since 2×82876288² = 13736958225317888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12813 + ... + 18163.

Almost surely, 2^82876288 is an apocalyptic number.

82876288 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 82876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90756540).

82876288 is an abundant number, since it is smaller than the sum of its proper divisors (98636792).

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

82876288 is a wasteful number, since it uses less digits than its factorization.

82876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387 (or 5364 counting only the distinct ones).

The product of its digits is 688128, while the sum is 49.

The square root of 82876288 is about 9103.6414692144. The cubic root of 82876288 is about 435.9902362934.

The spelling of 82876288 in words is "eighty-two million, eight hundred seventy-six thousand, two hundred eighty-eight".