11258827728 has 80 divisors (see below), whose sum is σ = 30827401920. Its totient is φ = 3528603648.

The previous prime is 11258827691. The next prime is 11258827747. The reversal of 11258827728 is 82772885211.

It is a happy number.

It is a super-2 number, since 2×11258827728² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865851 + ... + 878757.

It is an arithmetic number, because the mean of its divisors is an integer number (385342524).

Almost surely, 2^11258827728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11258827728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413700960).

11258827728 is an abundant number, since it is smaller than the sum of its proper divisors (19568574192).

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

11258827728 is a wasteful number, since it uses less digits than its factorization.

11258827728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14004 (or 13998 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 51.

The spelling of 11258827728 in words is "eleven billion, two hundred fifty-eight million, eight hundred twenty-seven thousand, seven hundred twenty-eight".