25727328 has 96 divisors (see below), whose sum is σ = 81889920. Its totient is φ = 7793280.

The previous prime is 25727323. The next prime is 25727329. The reversal of 25727328 is 82372752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 25727292 and 25727301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25727323) 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, 8151 + ... + 10857.

It is an arithmetic number, because the mean of its divisors is an integer number (853020).

Almost surely, 2^25727328 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 25727328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40944960).

25727328 is an abundant number, since it is smaller than the sum of its proper divisors (56162592).

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

25727328 is a wasteful number, since it uses less digits than its factorization.

25727328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2723 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 25727328 is about 5072.2113520633. The cubic root of 25727328 is about 295.2103373999.

The spelling of 25727328 in words is "twenty-five million, seven hundred twenty-seven thousand, three hundred twenty-eight".