26767728 has 120 divisors (see below), whose sum is σ = 82147520. Its totient is φ = 8087040.

The previous prime is 26767723. The next prime is 26767747. The reversal of 26767728 is 82776762.

It is a happy number.

It is a super-2 number, since 2×26767728² = 1433022524563968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26767721) 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 23 ways as a sum of consecutive naturals, for example, 147798 + ... + 147978.

Almost surely, 2^26767728 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 26767728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41073760).

26767728 is an abundant number, since it is smaller than the sum of its proper divisors (55379792).

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

26767728 is a wasteful number, since it uses less digits than its factorization.

26767728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 26767728 is about 5173.7537629849. The cubic root of 26767728 is about 299.1372546131.

It can be divided in two parts, 26767 and 728, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 26767728 in words is "twenty-six million, seven hundred sixty-seven thousand, seven hundred twenty-eight".