2528853768 has 192 divisors, whose sum is σ = 8556088320. Its totient is φ = 658022400.

The previous prime is 2528853739. The next prime is 2528853823. The reversal of 2528853768 is 8673588252.

2528853768 is a `hidden beast` number, since 2 + 528 + 8 + 53 + 7 + 68 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 260848 + ... + 270368.

It is an arithmetic number, because the mean of its divisors is an integer number (44562960).

Almost surely, 2^2528853768 is an apocalyptic number.

2528853768 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 2528853768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278044160).

2528853768 is an abundant number, since it is smaller than the sum of its proper divisors (6027234552).

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

2528853768 is a wasteful number, since it uses less digits than its factorization.

2528853768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9588 (or 9581 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 2528853768 is about 50287.7099100764. The cubic root of 2528853768 is about 1362.4102602063.

The spelling of 2528853768 in words is "two billion, five hundred twenty-eight million, eight hundred fifty-three thousand, seven hundred sixty-eight".