82289088 has 112 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 23507712.

The previous prime is 82289063. The next prime is 82289113. The reversal of 82289088 is 88098228.

It is an interprime number because it is at equal distance from previous prime (82289063) and next prime (82289113).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8695 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (2468880).

Almost surely, 2^82289088 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 82289088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

82289088 is an abundant number, since it is smaller than the sum of its proper divisors (194225472).

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

82289088 is a wasteful number, since it uses less digits than its factorization.

82289088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6831 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 82289088 is about 9071.3333088361. Note that the first 4 decimals coincide. The cubic root of 82289088 is about 434.9580934660.

The spelling of 82289088 in words is "eighty-two million, two hundred eighty-nine thousand, eighty-eight".