82781411328 has 1152 divisors, whose sum is σ = 326748764160. Its totient is φ = 19534970880.

The previous prime is 82781411327. The next prime is 82781411357. The reversal of 82781411328 is 82311418728.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×82781411328² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82781411327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1133991900 + ... + 1133991972.

It is an arithmetic number, because the mean of its divisors is an integer number (283636080).

Almost surely, 2^82781411328 is an apocalyptic number.

82781411328 is a gapful number since it is divisible by the number (88) 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 82781411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163374382080).

82781411328 is an abundant number, since it is smaller than the sum of its proper divisors (243967352832).

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

82781411328 is a wasteful number, since it uses less digits than its factorization.

82781411328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 82781411328 in words is "eighty-two billion, seven hundred eighty-one million, four hundred eleven thousand, three hundred twenty-eight".