1682078432328 has 144 divisors (see below), whose sum is σ = 5305948698960. Its totient is φ = 480000427200.

The previous prime is 1682078432323. The next prime is 1682078432339. The reversal of 1682078432328 is 8232348702861.

1682078432328 is a `hidden beast` number, since 1 + 6 + 8 + 207 + 84 + 32 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (1682078432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2567263 + ... + 3155153.

It is an arithmetic number, because the mean of its divisors is an integer number (36846865965).

Almost surely, 2^{1682078432328} is an apocalyptic number.

1682078432328 is a gapful number since it is divisible by the number (18) 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 1682078432328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652974349480).

1682078432328 is an abundant number, since it is smaller than the sum of its proper divisors (3623870266632).

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

1682078432328 is a wasteful number, since it uses less digits than its factorization.

1682078432328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588728 (or 588714 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 1682078432328 in words is "one trillion, six hundred eighty-two billion, seventy-eight million, four hundred thirty-two thousand, three hundred twenty-eight".