25132128 has 96 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 7104000.

The previous prime is 25132127. The next prime is 25132141. The reversal of 25132128 is 82123152.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 25132098 and 25132107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25132127) 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, 100003 + ... + 100253.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^25132128 is an apocalyptic number.

25132128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

25132128 is an abundant number, since it is smaller than the sum of its proper divisors (51072672).

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

25132128 is a wasteful number, since it uses less digits than its factorization.

25132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 25132128 is about 5013.1953881731. The cubic root of 25132128 is about 292.9159951296.

The spelling of 25132128 in words is "twenty-five million, one hundred thirty-two thousand, one hundred twenty-eight".