82328960 has 256 divisors, whose sum is σ = 253808640. Its totient is φ = 24870912.

The previous prime is 82328951. The next prime is 82328989. The reversal of 82328960 is 6982328.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1751657 + ... + 1751703.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 2^82328960 is an apocalyptic number.

82328960 is a gapful number since it is divisible by the number (80) 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 82328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126904320).

82328960 is an abundant number, since it is smaller than the sum of its proper divisors (171479680).

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

82328960 is a wasteful number, since it uses less digits than its factorization.

82328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 82328960 is about 9073.5307350557. The cubic root of 82328960 is about 435.0283330292.

The spelling of 82328960 in words is "eighty-two million, three hundred twenty-eight thousand, nine hundred sixty".