82002528 has 36 divisors (see below), whose sum is σ = 233195508. Its totient is φ = 27334080.

The previous prime is 82002493. The next prime is 82002551. The reversal of 82002528 is 82520028.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142078 + ... + 142653.

It is an arithmetic number, because the mean of its divisors is an integer number (6477653).

Almost surely, 2^82002528 is an apocalyptic number.

It is an amenable number.

82002528 is an abundant number, since it is smaller than the sum of its proper divisors (151192980).

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

82002528 is a wasteful number, since it uses less digits than its factorization.

82002528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284747 (or 284736 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 82002528 is about 9055.5247225106. The cubic root of 82002528 is about 434.4526131038.

The spelling of 82002528 in words is "eighty-two million, two thousand, five hundred twenty-eight".