82899828 has 96 divisors (see below), whose sum is σ = 242135040. Its totient is φ = 24300000.

The previous prime is 82899823. The next prime is 82899853.

82899828 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82899821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35703 + ... + 37953.

It is an arithmetic number, because the mean of its divisors is an integer number (2522240).

Almost surely, 2^82899828 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 82899828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121067520).

82899828 is an abundant number, since it is smaller than the sum of its proper divisors (159235212).

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

82899828 is a wasteful number, since it uses less digits than its factorization.

82899828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2298 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 82899828 is about 9104.9342666490. The cubic root of 82899828 is about 436.0315116242.

The spelling of 82899828 in words is "eighty-two million, eight hundred ninety-nine thousand, eight hundred twenty-eight".