26807328 has 192 divisors, whose sum is σ = 87091200. Its totient is φ = 7983360.

The previous prime is 26807323. The next prime is 26807353. The reversal of 26807328 is 82370862.

It is a happy number.

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 = 26807292 and 26807301.

It is not an unprimeable number, because it can be changed into a prime (26807321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377533 + ... + 377603.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^26807328 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 26807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

26807328 is an abundant number, since it is smaller than the sum of its proper divisors (60283872).

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

26807328 is a wasteful number, since it uses less digits than its factorization.

26807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 26807328 is about 5177.5793571900. The cubic root of 26807328 is about 299.2846958220.

The spelling of 26807328 in words is "twenty-six million, eight hundred seven thousand, three hundred twenty-eight".