26801928 has 96 divisors (see below), whose sum is σ = 79803360. Its totient is φ = 8398080.

The previous prime is 26801903. The next prime is 26801959. The reversal of 26801928 is 82910862.

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 = 26801892 and 26801901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32643 + ... + 33453.

It is an arithmetic number, because the mean of its divisors is an integer number (831285).

Almost surely, 2^26801928 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 26801928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39901680).

26801928 is an abundant number, since it is smaller than the sum of its proper divisors (53001432).

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

26801928 is a wasteful number, since it uses less digits than its factorization.

26801928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 26801928 is about 5177.0578517146. The cubic root of 26801928 is about 299.2645987564.

The spelling of 26801928 in words is "twenty-six million, eight hundred one thousand, nine hundred twenty-eight".