25728840 has 96 divisors (see below), whose sum is σ = 86748480. Its totient is φ = 6858432.

The previous prime is 25728839. The next prime is 25728851. The reversal of 25728840 is 4882752.

It is a happy number.

25728840 is a `hidden beast` number, since 2 + 572 + 8 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25728795 and 25728804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8397 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (903630).

Almost surely, 2^25728840 is an apocalyptic number.

25728840 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 25728840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43374240).

25728840 is an abundant number, since it is smaller than the sum of its proper divisors (61019640).

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

25728840 is a wasteful number, since it uses less digits than its factorization.

25728840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 25728840 is about 5072.3603972904. The cubic root of 25728840 is about 295.2161204760.

The spelling of 25728840 in words is "twenty-five million, seven hundred twenty-eight thousand, eight hundred forty".