82528128 has 96 divisors (see below), whose sum is σ = 241066800. Its totient is φ = 27095040.

The previous prime is 82528087. The next prime is 82528133. The reversal of 82528128 is 82182528.

It is a happy number.

82528128 is a `hidden beast` number, since 8 + 2 + 528 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82528128² = 13621783822368768, which contains 22 as substring.

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 = 82528092 and 82528101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81288 + ... + 82296.

Almost surely, 2^82528128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120533400).

82528128 is an abundant number, since it is smaller than the sum of its proper divisors (158538672).

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

82528128 is a wasteful number, since it uses less digits than its factorization.

82528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1085 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 82528128 is about 9084.4993257746. The cubic root of 82528128 is about 435.3788534620.

The spelling of 82528128 in words is "eighty-two million, five hundred twenty-eight thousand, one hundred twenty-eight".