25628327424 has 560 divisors, whose sum is σ = 93064945248. Its totient is φ = 6879707136.

The previous prime is 25628327423. The next prime is 25628327443. The reversal of 25628327424 is 42472382652.

25628327424 is a `hidden beast` number, since 2 + 562 + 83 + 2 + 7 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×25628327424² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25628327424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25628327423) 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 55 ways as a sum of consecutive naturals, for example, 44416224 + ... + 44416800.

Almost surely, 2^25628327424 is an apocalyptic number.

25628327424 is a gapful number since it is divisible by the number (24) 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 25628327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46532472624).

25628327424 is an abundant number, since it is smaller than the sum of its proper divisors (67436617824).

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

25628327424 is an frugal number, since it uses more digits than its factorization.

25628327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 606 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 25628327424 in words is "twenty-five billion, six hundred twenty-eight million, three hundred twenty-seven thousand, four hundred twenty-four".