26261928 has 128 divisors (see below), whose sum is σ = 91008000. Its totient is φ = 6816960.

The previous prime is 26261909. The next prime is 26261951. The reversal of 26261928 is 82916262.

It is a happy number.

26261928 is a `hidden beast` number, since 2 + 626 + 1 + 9 + 28 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26261892 and 26261901.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15843 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (711000).

Almost surely, 2^26261928 is an apocalyptic number.

26261928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26261928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45504000).

26261928 is an abundant number, since it is smaller than the sum of its proper divisors (64746072).

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

26261928 is a wasteful number, since it uses less digits than its factorization.

26261928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1602 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 26261928 is about 5124.6393043804. The cubic root of 26261928 is about 297.2411061238.

It can be divided in two parts, 2626 and 1928, that added together give a palindrome (4554).

The spelling of 26261928 in words is "twenty-six million, two hundred sixty-one thousand, nine hundred twenty-eight".