26279028 has 72 divisors (see below), whose sum is σ = 69229160. Its totient is φ = 8398080.

The previous prime is 26279027. The next prime is 26279039. The reversal of 26279028 is 82097262.

26279028 is a `hidden beast` number, since 2 + 627 + 9 + 0 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 22638564 = 1908^2 + 4758^2 .

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 = 26278983 and 26279001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26279027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145098 + ... + 145278.

Almost surely, 2^26279028 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 26279028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34614580).

26279028 is an abundant number, since it is smaller than the sum of its proper divisors (42950132).

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

26279028 is a wasteful number, since it uses less digits than its factorization.

26279028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 26279028 is about 5126.3074429847. The cubic root of 26279028 is about 297.3056065941.

The spelling of 26279028 in words is "twenty-six million, two hundred seventy-nine thousand, twenty-eight".