26728720 has 80 divisors (see below), whose sum is σ = 66089520. Its totient is φ = 10035200.

The previous prime is 26728699. The next prime is 26728721. The reversal of 26728720 is 2782762.

26728720 = T₄₆₅ + T₄₆₆ + ... + T₆₃₈.

It can be written as a sum of positive squares in 8 ways, for example, as 1648656 + 25080064 = 1284^2 + 5008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26728721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94980 + ... + 95260.

It is an arithmetic number, because the mean of its divisors is an integer number (826119).

Almost surely, 2^26728720 is an apocalyptic number.

26728720 is a gapful number since it is divisible by the number (20) 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 26728720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33044760).

26728720 is an abundant number, since it is smaller than the sum of its proper divisors (39360800).

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

26728720 is a wasteful number, since it uses less digits than its factorization.

26728720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 26728720 is about 5169.9825918469. The cubic root of 26728720 is about 298.9918753362.

The spelling of 26728720 in words is "twenty-six million, seven hundred twenty-eight thousand, seven hundred twenty".