82123888 has 80 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 31737600.

The previous prime is 82123849. The next prime is 82123903. The reversal of 82123888 is 88832128.

It is a self number, because there is not a number n which added to its sum of digits gives 82123888.

It is a congruent 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, 235138 + ... + 235486.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^82123888 is an apocalyptic number.

82123888 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 82123888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

82123888 is an abundant number, since it is smaller than the sum of its proper divisors (117863312).

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

82123888 is a wasteful number, since it uses less digits than its factorization.

82123888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 82123888 is about 9062.2231268050. The cubic root of 82123888 is about 434.6668308094. Note that the first 3 decimals are identical.

It can be divided in two parts, 8212 and 3888, that added together give a square (12100 = 110²).

The spelling of 82123888 in words is "eighty-two million, one hundred twenty-three thousand, eight hundred eighty-eight".