25928400 has 240 divisors, whose sum is σ = 92994048. Its totient is φ = 6144000.

The previous prime is 25928351. The next prime is 25928401. The reversal of 25928400 is 482952.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25928401) by changing a digit.

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, 632380 + ... + 632420.

Almost surely, 2^25928400 is an apocalyptic number.

25928400 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 25928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46497024).

25928400 is an abundant number, since it is smaller than the sum of its proper divisors (67065648).

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

25928400 is a wasteful number, since it uses less digits than its factorization.

25928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 25928400 is about 5091.9937156285. The cubic root of 25928400 is about 295.9774148826.

The spelling of 25928400 in words is "twenty-five million, nine hundred twenty-eight thousand, four hundred".