2525257728 has 336 divisors, whose sum is σ = 8740658160. Its totient is φ = 718405632.

The previous prime is 2525257727. The next prime is 2525257739. The reversal of 2525257728 is 8277525252.

2525257728 is a `hidden beast` number, since 2 + 5 + 2 + 52 + 577 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (784000) is a multiple of the sum of its prime divisors (245).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525257727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10837900 + ... + 10838132.

Almost surely, 2^2525257728 is an apocalyptic number.

2525257728 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 2525257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370329080).

2525257728 is an abundant number, since it is smaller than the sum of its proper divisors (6215400432).

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

2525257728 is an equidigital number, since it uses as much as digits as its factorization.

2525257728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 245 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The square root of 2525257728 is about 50251.9425296177. The cubic root of 2525257728 is about 1361.7641696129.

The spelling of 2525257728 in words is "two billion, five hundred twenty-five million, two hundred fifty-seven thousand, seven hundred twenty-eight".