82999928 has 32 divisors (see below), whose sum is σ = 171936000. Its totient is φ = 37246560.

The previous prime is 82999921. The next prime is 82999937.

82999928 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82999921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983 + ... + 12921.

It is an arithmetic number, because the mean of its divisors is an integer number (5373000).

Almost surely, 2^82999928 is an apocalyptic number.

82999928 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 82999928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85968000).

82999928 is an abundant number, since it is smaller than the sum of its proper divisors (88936072).

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

82999928 is a wasteful number, since it uses less digits than its factorization.

82999928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12031 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 56.

The square root of 82999928 is about 9110.4296276301. The cubic root of 82999928 is about 436.2069410133.

The spelling of 82999928 in words is "eighty-two million, nine hundred ninety-nine thousand, nine hundred twenty-eight".