82032128 has 40 divisors (see below), whose sum is σ = 167051808. Its totient is φ = 40228864.

The previous prime is 82032127. The next prime is 82032131. The reversal of 82032128 is 82123028.

It is a junction number, because it is equal to n+sod(n) for n = 82032097 and 82032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82032121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25625 + ... + 28647.

Almost surely, 2^82032128 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 82032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83525904).

82032128 is an abundant number, since it is smaller than the sum of its proper divisors (85019680).

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

82032128 is an equidigital number, since it uses as much as digits as its factorization.

82032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 82032128 is about 9057.1589364436. The cubic root of 82032128 is about 434.5048808028.

It can be divided in two parts, 8203212 and 8, that multiplied together give a triangular number (65625696 = T₁₁₄₅₆).

The spelling of 82032128 in words is "eighty-two million, thirty-two thousand, one hundred twenty-eight".