83328144 has 40 divisors (see below), whose sum is σ = 221087040. Its totient is φ = 27024768.

The previous prime is 83328127. The next prime is 83328151. The reversal of 83328144 is 44182338.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21684 + ... + 25235.

It is an arithmetic number, because the mean of its divisors is an integer number (5527176).

Almost surely, 2^83328144 is an apocalyptic number.

It is an amenable number.

83328144 is an abundant number, since it is smaller than the sum of its proper divisors (137758896).

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

83328144 is a wasteful number, since it uses less digits than its factorization.

83328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46967 (or 46961 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 83328144 is about 9128.4250558352. The cubic root of 83328144 is about 436.7811655795.

The spelling of 83328144 in words is "eighty-three million, three hundred twenty-eight thousand, one hundred forty-four".