26752128 has 128 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 7839744.

The previous prime is 26752111. The next prime is 26752139. The reversal of 26752128 is 82125762.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114700 + ... + 114932.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 2^26752128 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 26752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40098240).

26752128 is an abundant number, since it is smaller than the sum of its proper divisors (53444352).

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

26752128 is a wasteful number, since it uses less digits than its factorization.

26752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 26752128 is about 5172.2459338280. The cubic root of 26752128 is about 299.0791317869.

The spelling of 26752128 in words is "twenty-six million, seven hundred fifty-two thousand, one hundred twenty-eight".