25501728 has 96 divisors (see below), whose sum is σ = 77341824. Its totient is φ = 7206912.

The previous prime is 25501711. The next prime is 25501739. The reversal of 25501728 is 82710552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 25501695 and 25501704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91926 + ... + 92202.

It is an arithmetic number, because the mean of its divisors is an integer number (805644).

Almost surely, 2^25501728 is an apocalyptic number.

25501728 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 25501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38670912).

25501728 is an abundant number, since it is smaller than the sum of its proper divisors (51840096).

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

25501728 is a wasteful number, since it uses less digits than its factorization.

25501728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 25501728 is about 5049.9235637780. The cubic root of 25501728 is about 294.3449142760.

It can be divided in two parts, 2550 and 1728, that added together give a triangular number (4278 = T₉₂).

The spelling of 25501728 in words is "twenty-five million, five hundred one thousand, seven hundred twenty-eight".