11152038828 has 192 divisors, whose sum is σ = 34217164800. Its totient is φ = 2749178880.

The previous prime is 11152038757. The next prime is 11152038829. The reversal of 11152038828 is 82883025111.

It is a super-2 number, since 2×11152038828² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11152038829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 834463 + ... + 847721.

It is an arithmetic number, because the mean of its divisors is an integer number (178214400).

Almost surely, 2^11152038828 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 11152038828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

11152038828 is an abundant number, since it is smaller than the sum of its proper divisors (23065125972).

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

11152038828 is a wasteful number, since it uses less digits than its factorization.

11152038828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 11152038828 in words is "eleven billion, one hundred fifty-two million, thirty-eight thousand, eight hundred twenty-eight".