11286620028 has 84 divisors (see below), whose sum is σ = 29811111568. Its totient is φ = 3737145600.

The previous prime is 11286619973. The next prime is 11286620029. The reversal of 11286620028 is 82002668211.

11286620028 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 6 + 620 + 0 + 28 = 666.

11286620028 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-3 number, since 3×11286620028³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11286619974 and 11286620001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286620029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 427500 + ... + 453132.

Almost surely, 2^11286620028 is an apocalyptic number.

11286620028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286620028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905555784).

11286620028 is an abundant number, since it is smaller than the sum of its proper divisors (18524491540).

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

11286620028 is a wasteful number, since it uses less digits than its factorization.

11286620028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25806 (or 25789 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11286620028 in words is "eleven billion, two hundred eighty-six million, six hundred twenty thousand, twenty-eight".