82939444128 has 192 divisors, whose sum is σ = 255576384000. Its totient is φ = 26124844032.

The previous prime is 82939444097. The next prime is 82939444129. The reversal of 82939444128 is 82144493928.

It is a happy number.

82939444128 is a `hidden beast` number, since 8 + 2 + 93 + 94 + 441 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (82939444129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142418 + ... + 1212846.

It is an arithmetic number, because the mean of its divisors is an integer number (1331127000).

Almost surely, 2^82939444128 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 82939444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127788192000).

82939444128 is an abundant number, since it is smaller than the sum of its proper divisors (172636939872).

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

82939444128 is a wasteful number, since it uses less digits than its factorization.

82939444128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70524 (or 70510 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 82939444128 in words is "eighty-two billion, nine hundred thirty-nine million, four hundred forty-four thousand, one hundred twenty-eight".