83828200032 has 288 divisors, whose sum is σ = 259718659200. Its totient is φ = 25559525376.

The previous prime is 83828200031. The next prime is 83828200067. The reversal of 83828200032 is 23000282838.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83828200032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83828200031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20939343 + ... + 20943345.

It is an arithmetic number, because the mean of its divisors is an integer number (901800900).

Almost surely, 2^83828200032 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 83828200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129859329600).

83828200032 is an abundant number, since it is smaller than the sum of its proper divisors (175890459168).

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

83828200032 is a wasteful number, since it uses less digits than its factorization.

83828200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 83828200032 in words is "eighty-three billion, eight hundred twenty-eight million, two hundred thousand, thirty-two".