11075463828 has 192 divisors, whose sum is σ = 33967584000. Its totient is φ = 3076600320.

The previous prime is 11075463827. The next prime is 11075463829. The reversal of 11075463828 is 82836457011.

11075463828 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 5 + 4 + 638 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11075463827) and next prime (11075463829).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11075463827) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2298750 + ... + 2303562.

It is an arithmetic number, because the mean of its divisors is an integer number (176914500).

Almost surely, 2^11075463828 is an apocalyptic number.

11075463828 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 11075463828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983792000).

11075463828 is an abundant number, since it is smaller than the sum of its proper divisors (22892120172).

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

11075463828 is a wasteful number, since it uses less digits than its factorization.

11075463828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11075463828 in words is "eleven billion, seventy-five million, four hundred sixty-three thousand, eight hundred twenty-eight".