82044288 has 96 divisors (see below), whose sum is σ = 237884400. Its totient is φ = 27141120.

The previous prime is 82044269. The next prime is 82044293. The reversal of 82044288 is 88244028.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263653 + ... + 263963.

Almost surely, 2^82044288 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 82044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118942200).

82044288 is an abundant number, since it is smaller than the sum of its proper divisors (155840112).

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

82044288 is a wasteful number, since it uses less digits than its factorization.

82044288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 82044288 is about 9057.8302037519. The cubic root of 82044288 is about 434.5263492950.

The spelling of 82044288 in words is "eighty-two million, forty-four thousand, two hundred eighty-eight".