82626128 has 30 divisors (see below), whose sum is σ = 173355534. Its totient is φ = 38133888.

The previous prime is 82626121. The next prime is 82626139. The reversal of 82626128 is 82162628.

It can be written as a sum of positive squares in 3 ways, for example, as 5326864 + 77299264 = 2308^2 + 8792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82626121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12575 + ... + 17982.

Almost surely, 2^82626128 is an apocalyptic number.

It is an amenable number.

82626128 is an abundant number, since it is smaller than the sum of its proper divisors (90729406).

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

82626128 is a wasteful number, since it uses less digits than its factorization.

82626128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30591 (or 30572 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 82626128 is about 9089.8915285057. The cubic root of 82626128 is about 435.5511189716.

The spelling of 82626128 in words is "eighty-two million, six hundred twenty-six thousand, one hundred twenty-eight".