82353888 has 48 divisors (see below), whose sum is σ = 240201360. Its totient is φ = 27451008.

The previous prime is 82353877. The next prime is 82353889. The reversal of 82353888 is 88835328.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82353889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46795 + ... + 48522.

It is an arithmetic number, because the mean of its divisors is an integer number (5004195).

Almost surely, 2^82353888 is an apocalyptic number.

It is an amenable number.

82353888 is an abundant number, since it is smaller than the sum of its proper divisors (157847472).

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

82353888 is a wasteful number, since it uses less digits than its factorization.

82353888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95336 (or 95322 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 82353888 is about 9074.9042970160. The cubic root of 82353888 is about 435.0722353287.

The spelling of 82353888 in words is "eighty-two million, three hundred fifty-three thousand, eight hundred eighty-eight".