26641728 has 84 divisors (see below), whose sum is σ = 79723488. Its totient is φ = 8490240.

The previous prime is 26641717. The next prime is 26641733. The reversal of 26641728 is 82714662.

26641728 is a `hidden beast` number, since 2 + 6 + 641 + 7 + 2 + 8 = 666.

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 = 26641692 and 26641701.

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, 12243 + ... + 14253.

Almost surely, 2^26641728 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 26641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39861744).

26641728 is an abundant number, since it is smaller than the sum of its proper divisors (53081760).

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

26641728 is a wasteful number, since it uses less digits than its factorization.

26641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2039 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26641728 is about 5161.5625541109. The cubic root of 26641728 is about 298.6671538399.

The spelling of 26641728 in words is "twenty-six million, six hundred forty-one thousand, seven hundred twenty-eight".