84193928 has 64 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 31343616.

The previous prime is 84193909. The next prime is 84193937. The reversal of 84193928 is 82939148.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8975 + ... + 15777.

It is an arithmetic number, because the mean of its divisors is an integer number (3214890).

Almost surely, 2^84193928 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 84193928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

84193928 is an abundant number, since it is smaller than the sum of its proper divisors (121559032).

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

84193928 is a wasteful number, since it uses less digits than its factorization.

84193928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6842 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 84193928 is about 9175.7249304891. The cubic root of 84193928 is about 438.2886832874.

The spelling of 84193928 in words is "eighty-four million, one hundred ninety-three thousand, nine hundred twenty-eight".