82238688 has 216 divisors, whose sum is σ = 284579568. Its totient is φ = 22063104.

The previous prime is 82238683. The next prime is 82238699. The reversal of 82238688 is 88683228.

It is a super-2 number, since 2×82238688² = 13526403607922688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (294912) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82238683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727720 + ... + 727832.

It is an arithmetic number, because the mean of its divisors is an integer number (1317498).

Almost surely, 2^82238688 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 82238688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142289784).

82238688 is an abundant number, since it is smaller than the sum of its proper divisors (202340880).

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

82238688 is a wasteful number, since it uses less digits than its factorization.

82238688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 82238688 is about 9068.5549014162. The cubic root of 82238688 is about 434.8692750272.

The spelling of 82238688 in words is "eighty-two million, two hundred thirty-eight thousand, six hundred eighty-eight".