26444628 has 72 divisors (see below), whose sum is σ = 77226240. Its totient is φ = 7473600.

The previous prime is 26444623. The next prime is 26444653. The reversal of 26444628 is 82644462.

It is a happy number.

26444628 is a `hidden beast` number, since 2 + 644 + 4 + 6 + 2 + 8 = 666.

26444628 is a nontrivial binomial coefficient, being equal to C(7273, 2).

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

Its product of digits (73728) is a multiple of the sum of its prime divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 26444592 and 26444601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26444623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24933 + ... + 25971.

Almost surely, 2^26444628 is an apocalyptic number.

26444628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

26444628 is the 7272-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26444628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38613120).

26444628 is an abundant number, since it is smaller than the sum of its proper divisors (50781612).

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

26444628 is a wasteful number, since it uses less digits than its factorization.

26444628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 26444628 is about 5142.4340540254. The cubic root of 26444628 is about 297.9288000101.

It can be divided in two parts, 26444 and 628, that added together give a palindrome (27072).

The spelling of 26444628 in words is "twenty-six million, four hundred forty-four thousand, six hundred twenty-eight".