11005508628 has 18 divisors (see below), whose sum is σ = 27819480234. Its totient is φ = 3668502864.

The previous prime is 11005508597. The next prime is 11005508629. The reversal of 11005508628 is 82680550011.

11005508628 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 550 + 86 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7083242244 + 3922266384 = 84162^2 + 62628^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×11005508628² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 305708573 = 11005508628 / (1 + 1 + 0 + 0 + 5 + 5 + 0 + 8 + 6 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 11005508592 and 11005508601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005508629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152854251 + ... + 152854322.

Almost surely, 2^11005508628 is an apocalyptic number.

11005508628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11005508628 is an abundant number, since it is smaller than the sum of its proper divisors (16813971606).

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

11005508628 is a wasteful number, since it uses less digits than its factorization.

11005508628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305708583 (or 305708578 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 11005508628 in words is "eleven billion, five million, five hundred eight thousand, six hundred twenty-eight".