25328000 has 64 divisors (see below), whose sum is σ = 63011520. Its totient is φ = 10124800.

The previous prime is 25327999. The next prime is 25328029. The reversal of 25328000 is 82352.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15209 + ... + 16791.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 2^25328000 is an apocalyptic number.

25328000 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 25328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505760).

25328000 is an abundant number, since it is smaller than the sum of its proper divisors (37683520).

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

25328000 is an equidigital number, since it uses as much as digits as its factorization.

25328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 25328000 is about 5032.6931160165. The cubic root of 25328000 is about 293.6749921660.

The spelling of 25328000 in words is "twenty-five million, three hundred twenty-eight thousand".