83828487472208 has 160 divisors (see below), whose sum is σ = 181693264220160. Its totient is φ = 37303364367360.

The previous prime is 83828487472201. The next prime is 83828487472241. The reversal of 83828487472208 is 80227478482838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83828487472201) 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, 65418260 + ... + 66687372.

It is an arithmetic number, because the mean of its divisors is an integer number (1135582901376).

Almost surely, 2^{83828487472208} 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 83828487472208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90846632110080).

83828487472208 is an abundant number, since it is smaller than the sum of its proper divisors (97864776747952).

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

83828487472208 is a wasteful number, since it uses less digits than its factorization.

83828487472208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269377 (or 1269371 counting only the distinct ones).

The product of its (nonzero) digits is 616562688, while the sum is 71.

The spelling of 83828487472208 in words is "eighty-three trillion, eight hundred twenty-eight billion, four hundred eighty-seven million, four hundred seventy-two thousand, two hundred eight".