83438848 has 72 divisors (see below), whose sum is σ = 178956288. Its totient is φ = 38725632.

The previous prime is 83438819. The next prime is 83438851. The reversal of 83438848 is 84883438.

It is a super-3 number, since 3×83438848³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 83438798 and 83438807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217665 + ... + 218047.

It is an arithmetic number, because the mean of its divisors is an integer number (2485504).

Almost surely, 2^83438848 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 83438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89478144).

83438848 is an abundant number, since it is smaller than the sum of its proper divisors (95517440).

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

83438848 is a wasteful number, since it uses less digits than its factorization.

83438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 445 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 83438848 is about 9134.4867398229. The cubic root of 83438848 is about 436.9745057189.

The spelling of 83438848 in words is "eighty-three million, four hundred thirty-eight thousand, eight hundred forty-eight".