2852628100 has 135 divisors (see below), whose sum is σ = 7288333647. Its totient is φ = 969071040.

The previous prime is 2852628073. The next prime is 2852628133. The reversal of 2852628100 is 18262582.

The square root of 2852628100 is 53410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10458756 + 2842169344 = 3234^2 + 53312^2 .

It is a super-2 number, since 2×2852628100² = 16274974153819220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26170846 + ... + 26170954.

Almost surely, 2^2852628100 is an apocalyptic number.

2852628100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2852628100 is the 53410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852628100

2852628100 is an abundant number, since it is smaller than the sum of its proper divisors (4435705547).

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

2852628100 is an equidigital number, since it uses as much as digits as its factorization.

2852628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The cubic root of 2852628100 is about 1418.2356086400.

The spelling of 2852628100 in words is "two billion, eight hundred fifty-two million, six hundred twenty-eight thousand, one hundred".