25747128 has 192 divisors, whose sum is σ = 84240000. Its totient is φ = 7015680.

The previous prime is 25747123. The next prime is 25747151. The reversal of 25747128 is 82174752.

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 = 25747092 and 25747101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25747123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436363 + ... + 436421.

It is an arithmetic number, because the mean of its divisors is an integer number (438750).

Almost surely, 2^25747128 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 25747128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120000).

25747128 is an abundant number, since it is smaller than the sum of its proper divisors (58492872).

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

25747128 is a wasteful number, since it uses less digits than its factorization.

25747128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 25747128 is about 5074.1627880863. The cubic root of 25747128 is about 295.2860502220.

The spelling of 25747128 in words is "twenty-five million, seven hundred forty-seven thousand, one hundred twenty-eight".