82938983328 has 144 divisors (see below), whose sum is σ = 243862655400. Its totient is φ = 26718087168.

The previous prime is 82938983327. The next prime is 82938983329. The reversal of 82938983328 is 82338983928.

82938983328 is a `hidden beast` number, since 8 + 293 + 8 + 9 + 8 + 332 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82938983327) and next prime (82938983329).

It can be written as a sum of positive squares in 4 ways, for example, as 67989519504 + 14949463824 = 260748^2 + 122268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (82938983327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561626 + ... + 1613862.

Almost surely, 2^82938983328 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 82938983328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121931327700).

82938983328 is an abundant number, since it is smaller than the sum of its proper divisors (160923672072).

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

82938983328 is a wasteful number, since it uses less digits than its factorization.

82938983328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52439 (or 52428 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 82938983328 in words is "eighty-two billion, nine hundred thirty-eight million, nine hundred eighty-three thousand, three hundred twenty-eight".