83409128 has 32 divisors (see below), whose sum is σ = 171396000. Its totient is φ = 37738560.

The previous prime is 83409119. The next prime is 83409149. The reversal of 83409128 is 82190438.

It is a happy number.

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, 18083 + ... + 22221.

It is an arithmetic number, because the mean of its divisors is an integer number (5356125).

Almost surely, 2^83409128 is an apocalyptic number.

83409128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

83409128 is an abundant number, since it is smaller than the sum of its proper divisors (87986872).

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

83409128 is a wasteful number, since it uses less digits than its factorization.

83409128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 83409128 is about 9132.8597930769. The cubic root of 83409128 is about 436.9226177201.

The spelling of 83409128 in words is "eighty-three million, four hundred nine thousand, one hundred twenty-eight".