82933928 has 128 divisors (see below), whose sum is σ = 206807040. Its totient is φ = 30240000.

The previous prime is 82933867. The next prime is 82933931.

82933928 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 821078 + ... + 821178.

It is an arithmetic number, because the mean of its divisors is an integer number (1615680).

Almost surely, 2^82933928 is an apocalyptic number.

82933928 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 82933928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103403520).

82933928 is an abundant number, since it is smaller than the sum of its proper divisors (123873112).

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

82933928 is a wasteful number, since it uses less digits than its factorization.

82933928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 82933928 is about 9106.8066851120. The cubic root of 82933928 is about 436.0912891359.

It can be divided in two parts, 8293 and 3928, that added together give a palindrome (12221).

The spelling of 82933928 in words is "eighty-two million, nine hundred thirty-three thousand, nine hundred twenty-eight".