83448288 has 288 divisors, whose sum is σ = 305690112. Its totient is φ = 20966400.

The previous prime is 83448263. The next prime is 83448293. The reversal of 83448288 is 88284438.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175293 + ... + 1175363.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 2^83448288 is an apocalyptic number.

83448288 is a gapful number since it is divisible by the number (88) 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 83448288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152845056).

83448288 is an abundant number, since it is smaller than the sum of its proper divisors (222241824).

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

83448288 is a wasteful number, since it uses less digits than its factorization.

83448288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 83448288 is about 9135.0034482752. The cubic root of 83448288 is about 436.9909843892.

The spelling of 83448288 in words is "eighty-three million, four hundred forty-eight thousand, two hundred eighty-eight".