82888192 has 80 divisors (see below), whose sum is σ = 178984080. Its totient is φ = 38207488.

The previous prime is 82888189. The next prime is 82888193. The reversal of 82888192 is 29188828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82888193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774603 + ... + 774709.

It is an arithmetic number, because the mean of its divisors is an integer number (2237301).

Almost surely, 2^82888192 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 82888192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89492040).

82888192 is an abundant number, since it is smaller than the sum of its proper divisors (96095888).

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

82888192 is a wasteful number, since it uses less digits than its factorization.

82888192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its digits is 147456, while the sum is 46.

The square root of 82888192 is about 9104.2952500454. The cubic root of 82888192 is about 436.0111098928.

The spelling of 82888192 in words is "eighty-two million, eight hundred eighty-eight thousand, one hundred ninety-two".