82318488 has 256 divisors, whose sum is σ = 275788800. Its totient is φ = 19906560.

The previous prime is 82318459. The next prime is 82318493. The reversal of 82318488 is 88481328.

It is a super-2 number, since 2×82318488² = 13552666933212288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2007748 + ... + 2007788.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^82318488 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 82318488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

82318488 is an abundant number, since it is smaller than the sum of its proper divisors (193470312).

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

82318488 is a wasteful number, since it uses less digits than its factorization.

82318488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 82318488 is about 9072.9536535794. The cubic root of 82318488 is about 435.0098874751.

The spelling of 82318488 in words is "eighty-two million, three hundred eighteen thousand, four hundred eighty-eight".