25128900 has 144 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 6508800.

The previous prime is 25128881. The next prime is 25128911. The reversal of 25128900 is 982152.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110587 + ... + 110813.

It is an arithmetic number, because the mean of its divisors is an integer number (577220).

Almost surely, 2^25128900 is an apocalyptic number.

25128900 is a gapful number since it is divisible by the number (20) 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 25128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

25128900 is an abundant number, since it is smaller than the sum of its proper divisors (57990780).

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

25128900 is a wasteful number, since it uses less digits than its factorization.

25128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 25128900 is about 5012.8734274865. The cubic root of 25128900 is about 292.9034537680.

The spelling of 25128900 in words is "twenty-five million, one hundred twenty-eight thousand, nine hundred".