2528956848 has 160 divisors (see below), whose sum is σ = 7599513600. Its totient is φ = 716601600.

The previous prime is 2528956841. The next prime is 2528956853. The reversal of 2528956848 is 8486598252.

It is a happy number.

2528956848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2528956841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790933 + ... + 794123.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 2^2528956848 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 2528956848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799756800).

2528956848 is an abundant number, since it is smaller than the sum of its proper divisors (5070556752).

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

2528956848 is a wasteful number, since it uses less digits than its factorization.

2528956848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3305 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 57.

The square root of 2528956848 is about 50288.7348021403. The cubic root of 2528956848 is about 1362.4287712729.

The spelling of 2528956848 in words is "two billion, five hundred twenty-eight million, nine hundred fifty-six thousand, eight hundred forty-eight".