25728082752 has 112 divisors (see below), whose sum is σ = 69874790400. Its totient is φ = 8350797312.

The previous prime is 25728082747. The next prime is 25728082759.

25728082752 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25728082759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1788613 + ... + 1802939.

Almost surely, 2^25728082752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25728082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34937395200).

25728082752 is an abundant number, since it is smaller than the sum of its proper divisors (44146707648).

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

25728082752 is a wasteful number, since it uses less digits than its factorization.

25728082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 25728082752 in words is "twenty-five billion, seven hundred twenty-eight million, eighty-two thousand, seven hundred fifty-two".