25753728 has 256 divisors, whose sum is σ = 93219840. Its totient is φ = 6082560.

The previous prime is 25753709. The next prime is 25753729. The reversal of 25753728 is 82735752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (25753729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384351 + ... + 384417.

It is an arithmetic number, because the mean of its divisors is an integer number (364140).

Almost surely, 2^25753728 is an apocalyptic number.

25753728 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 25753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46609920).

25753728 is an abundant number, since it is smaller than the sum of its proper divisors (67466112).

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

25753728 is a wasteful number, since it uses less digits than its factorization.

25753728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its digits is 117600, while the sum is 39.

The square root of 25753728 is about 5074.8131000067. The cubic root of 25753728 is about 295.3112792033.

The spelling of 25753728 in words is "twenty-five million, seven hundred fifty-three thousand, seven hundred twenty-eight".