83414801632728 has 128 divisors (see below), whose sum is σ = 219772290816000. Its totient is φ = 26310367226880.

The previous prime is 83414801632703. The next prime is 83414801632793. The reversal of 83414801632728 is 82723610841438.

83414801632728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402312726 + ... + 3402337242.

It is an arithmetic number, because the mean of its divisors is an integer number (1716971022000).

Almost surely, 2^{83414801632728} 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 83414801632728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109886145408000).

83414801632728 is an abundant number, since it is smaller than the sum of its proper divisors (136357489183272).

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

83414801632728 is a wasteful number, since it uses less digits than its factorization.

83414801632728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33065 (or 33061 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 83414801632728 in words is "eighty-three trillion, four hundred fourteen billion, eight hundred one million, six hundred thirty-two thousand, seven hundred twenty-eight".