25945128 has 192 divisors, whose sum is σ = 84913920. Its totient is φ = 7065600.

The previous prime is 25945099. The next prime is 25945163. The reversal of 25945128 is 82154952.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28800) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 25945092 and 25945101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552001 + ... + 552047.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 2^25945128 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 25945128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

25945128 is an abundant number, since it is smaller than the sum of its proper divisors (58968792).

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

25945128 is a wasteful number, since it uses less digits than its factorization.

25945128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 25945128 is about 5093.6360293998. The cubic root of 25945128 is about 296.0410522560.

The spelling of 25945128 in words is "twenty-five million, nine hundred forty-five thousand, one hundred twenty-eight".