26728944 has 160 divisors (see below), whose sum is σ = 82280448. Its totient is φ = 7392000.

The previous prime is 26728937. The next prime is 26728957. The reversal of 26728944 is 44982762.

26728944 = 1067² + 1068² + ... + 1089².

It is a junction number, because it is equal to n+sod(n) for n = 26728896 and 26728905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376429 + ... + 376499.

Almost surely, 2^26728944 is an apocalyptic number.

26728944 is a gapful number since it is divisible by the number (24) 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 26728944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224).

26728944 is an abundant number, since it is smaller than the sum of its proper divisors (55551504).

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

26728944 is a wasteful number, since it uses less digits than its factorization.

26728944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 26728944 is about 5170.0042553174. The cubic root of 26728944 is about 298.9927105675.

It can be divided in two parts, 26728 and 944, that added together give a palindrome (27672).

The spelling of 26728944 in words is "twenty-six million, seven hundred twenty-eight thousand, nine hundred forty-four".