25792768 has 36 divisors (see below), whose sum is σ = 52483788. Its totient is φ = 12646400.

The previous prime is 25792751. The next prime is 25792769. The reversal of 25792768 is 86729752.

It can be written as a sum of positive squares in 2 ways, for example, as 9535744 + 16257024 = 3088^2 + 4032^2 .

It is a super-2 number, since 2×25792768² = 1330533762203648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25792769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12618 + ... + 14518.

It is an arithmetic number, because the mean of its divisors is an integer number (1457883).

Almost surely, 2^25792768 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 25792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241894).

25792768 is an abundant number, since it is smaller than the sum of its proper divisors (26691020).

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

25792768 is an equidigital number, since it uses as much as digits as its factorization.

25792768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1956 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 25792768 is about 5078.6580904802. The cubic root of 25792768 is about 295.4604243636.

It can be divided in two parts, 257 and 92768, that added together give a square (93025 = 305²).

The spelling of 25792768 in words is "twenty-five million, seven hundred ninety-two thousand, seven hundred sixty-eight".