2528956836 has 192 divisors, whose sum is σ = 7705152000. Its totient is φ = 717002496.

The previous prime is 2528956823. The next prime is 2528956841. The reversal of 2528956836 is 6386598252.

2528956836 is a `hidden beast` number, since 25 + 28 + 9 + 568 + 36 = 666.

2528956836 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2528956836² = 12791245356702261792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8631106 + ... + 8631398.

It is an arithmetic number, because the mean of its divisors is an integer number (40131000).

Almost surely, 2^2528956836 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 2528956836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576000).

2528956836 is an abundant number, since it is smaller than the sum of its proper divisors (5176195164).

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

2528956836 is a wasteful number, since it uses less digits than its factorization.

2528956836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 2528956836 is about 50288.7346828293. The cubic root of 2528956836 is about 1362.4287691179.

The spelling of 2528956836 in words is "two billion, five hundred twenty-eight million, nine hundred fifty-six thousand, eight hundred thirty-six".