82328004 has 72 divisors (see below), whose sum is σ = 228953088. Its totient is φ = 24736320.

The previous prime is 82327967. The next prime is 82328011. The reversal of 82328004 is 40082328.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49474 + ... + 51110.

It is an arithmetic number, because the mean of its divisors is an integer number (3179904).

Almost surely, 2^82328004 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 82328004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

82328004 is an abundant number, since it is smaller than the sum of its proper divisors (146625084).

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

82328004 is a wasteful number, since it uses less digits than its factorization.

82328004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82328004 is about 9073.4780541973. The cubic root of 82328004 is about 435.0266491799.

The spelling of 82328004 in words is "eighty-two million, three hundred twenty-eight thousand, four".