82391328 has 72 divisors (see below), whose sum is σ = 235177488. Its totient is φ = 27361152.

The previous prime is 82391269. The next prime is 82391357. The reversal of 82391328 is 82319328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82391292 and 82391301.

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, 150351 + ... + 150897.

It is an arithmetic number, because the mean of its divisors is an integer number (3266354).

Almost surely, 2^82391328 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 82391328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117588744).

82391328 is an abundant number, since it is smaller than the sum of its proper divisors (152786160).

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

82391328 is a wasteful number, since it uses less digits than its factorization.

82391328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1075 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82391328 is about 9076.9668942880. The cubic root of 82391328 is about 435.1381566715.

The spelling of 82391328 in words is "eighty-two million, three hundred ninety-one thousand, three hundred twenty-eight".