25728346224 has 280 divisors, whose sum is σ = 86068241280. Its totient is φ = 7294852224.

The previous prime is 25728346223. The next prime is 25728346247. The reversal of 25728346224 is 42264382752.

25728346224 is a `hidden beast` number, since 25 + 72 + 83 + 462 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25728346224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25728346223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11347939 + ... + 11350205.

It is an arithmetic number, because the mean of its divisors is an integer number (307386576).

Almost surely, 2^25728346224 is an apocalyptic number.

25728346224 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 25728346224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43034120640).

25728346224 is an abundant number, since it is smaller than the sum of its proper divisors (60339895056).

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

25728346224 is a wasteful number, since it uses less digits than its factorization.

25728346224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2418 counting only the distinct ones).

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

The spelling of 25728346224 in words is "twenty-five billion, seven hundred twenty-eight million, three hundred forty-six thousand, two hundred twenty-four".