26782848 has 96 divisors (see below), whose sum is σ = 78446160. Its totient is φ = 8769024.

The previous prime is 26782831. The next prime is 26782883. The reversal of 26782848 is 84828762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26782848² = 1434641893982208, which contains 22 as substring.

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, 77011 + ... + 77357.

Almost surely, 2^26782848 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 26782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39223080).

26782848 is an abundant number, since it is smaller than the sum of its proper divisors (51663312).

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

26782848 is a wasteful number, since it uses less digits than its factorization.

26782848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 26782848 is about 5175.2147781517. The cubic root of 26782848 is about 299.1935674978.

The spelling of 26782848 in words is "twenty-six million, seven hundred eighty-two thousand, eight hundred forty-eight".