11628100 has 81 divisors (see below), whose sum is σ = 28658973. Its totient is φ = 4092000.

The previous prime is 11628083. The next prime is 11628121. The reversal of 11628100 is 182611.

The square root of 11628100 is 3410.

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

It can be written as a sum of positive squares in only one way, i.e., 4186116 + 7441984 = 2046^2 + 2728^2 .

It is a super-2 number, since 2×11628100² = 270425419220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375085 + ... + 375115.

Almost surely, 2^11628100 is an apocalyptic number.

11628100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11628100 is the 3410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628100

11628100 is an abundant number, since it is smaller than the sum of its proper divisors (17030873).

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

11628100 is a wasteful number, since it uses less digits than its factorization.

11628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The cubic root of 11628100 is about 226.5528792585.

The spelling of 11628100 in words is "eleven million, six hundred twenty-eight thousand, one hundred".