82556128 has 24 divisors (see below), whose sum is σ = 162736560. Its totient is φ = 41226240.

The previous prime is 82556101. The next prime is 82556137. The reversal of 82556128 is 82165528.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44173 + ... + 46003.

It is an arithmetic number, because the mean of its divisors is an integer number (6780690).

Almost surely, 2^82556128 is an apocalyptic number.

It is an amenable number.

82556128 is a deficient number, since it is larger than the sum of its proper divisors (80180432).

82556128 is a wasteful number, since it uses less digits than its factorization.

82556128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3242 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The square root of 82556128 is about 9086.0402816629. The cubic root of 82556128 is about 435.4280860884.

It can be divided in two parts, 825 and 56128, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 82556128 in words is "eighty-two million, five hundred fifty-six thousand, one hundred twenty-eight".