2832128 has 72 divisors (see below), whose sum is σ = 6524448. Its totient is φ = 1216512.

The previous prime is 2832127. The next prime is 2832131. The reversal of 2832128 is 8212382.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2832097 and 2832106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76526 + ... + 76562.

2^2832128 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 2832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262224).

2832128 is an abundant number, since it is smaller than the sum of its proper divisors (3692320).

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

2832128 is a wasteful number, since it uses less digits than its factorization.

2832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

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

The square root of 2832128 is about 1682.8927476224. The cubic root of 2832128 is about 141.4830106087.

The spelling of 2832128 in words is "two million, eight hundred thirty-two thousand, one hundred twenty-eight".