81248328 has 192 divisors, whose sum is σ = 270167040. Its totient is φ = 21555072.

The previous prime is 81248309. The next prime is 81248329. The reversal of 81248328 is 82384218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 81248292 and 81248301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81248329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498375 + ... + 498537.

It is an arithmetic number, because the mean of its divisors is an integer number (1407120).

Almost surely, 2^81248328 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 81248328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135083520).

81248328 is an abundant number, since it is smaller than the sum of its proper divisors (188918712).

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

81248328 is a wasteful number, since it uses less digits than its factorization.

81248328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 81248328 is about 9013.7854423100. The cubic root of 81248328 is about 433.1165816721.

The spelling of 81248328 in words is "eighty-one million, two hundred forty-eight thousand, three hundred twenty-eight".