25264128 has 64 divisors (see below), whose sum is σ = 67632120. Its totient is φ = 8388608.

The previous prime is 25264123. The next prime is 25264153. The reversal of 25264128 is 82146252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 25264095 and 25264104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25264123) by changing a digit.

In principle, a polygon with 25264128 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98176 + ... + 98432.

Almost surely, 2^25264128 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 25264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33816060).

25264128 is an abundant number, since it is smaller than the sum of its proper divisors (42367992).

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

25264128 is an frugal number, since it uses more digits than its factorization.

25264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 25264128 is about 5026.3434025144. The cubic root of 25264128 is about 293.4279217455.

The spelling of 25264128 in words is "twenty-five million, two hundred sixty-four thousand, one hundred twenty-eight".