82535328 has 48 divisors (see below), whose sum is σ = 240730560. Its totient is φ = 27511488.

The previous prime is 82535311. The next prime is 82535377. The reversal of 82535328 is 82353528.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 82535292 and 82535301.

It is an unprimeable number.

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, 46900 + ... + 48627.

It is an arithmetic number, because the mean of its divisors is an integer number (5015220).

Almost surely, 2^82535328 is an apocalyptic number.

It is an amenable number.

82535328 is an abundant number, since it is smaller than the sum of its proper divisors (158195232).

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

82535328 is a wasteful number, since it uses less digits than its factorization.

82535328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95546 (or 95532 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 82535328 is about 9084.8955965382. The cubic root of 82535328 is about 435.3915143437.

The spelling of 82535328 in words is "eighty-two million, five hundred thirty-five thousand, three hundred twenty-eight".