26832128 has 36 divisors (see below), whose sum is σ = 53894148. Its totient is φ = 13332480.

The previous prime is 26832121. The next prime is 26832139. The reversal of 26832128 is 82123862.

It can be written as a sum of positive squares in 2 ways, for example, as 16386304 + 10445824 = 4048^2 + 3232^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 26832094 and 26832103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26832121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71750 + ... + 72122.

Almost surely, 2^26832128 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 26832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26947074).

26832128 is an abundant number, since it is smaller than the sum of its proper divisors (27062020).

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

26832128 is an equidigital number, since it uses as much as digits as its factorization.

26832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 26832128 is about 5179.9737451072. The cubic root of 26832128 is about 299.3769588132.

The spelling of 26832128 in words is "twenty-six million, eight hundred thirty-two thousand, one hundred twenty-eight".