83228208 has 80 divisors (see below), whose sum is σ = 258673920. Its totient is φ = 22526208.

The previous prime is 83228203. The next prime is 83228239. The reversal of 83228208 is 80282238.

It is not an unprimeable number, because it can be changed into a prime (83228203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (3233424).

Almost surely, 2^83228208 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 83228208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129336960).

83228208 is an abundant number, since it is smaller than the sum of its proper divisors (175445712).

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

83228208 is a wasteful number, since it uses less digits than its factorization.

83228208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13074 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 83228208 is about 9122.9495230435. The cubic root of 83228208 is about 436.6064842050.

It can be divided in two parts, 83228 and 208, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 83228208 in words is "eighty-three million, two hundred twenty-eight thousand, two hundred eight".