11752128 has 70 divisors (see below), whose sum is σ = 34852356. Its totient is φ = 3915648.

The previous prime is 11752109. The next prime is 11752157. The reversal of 11752128 is 82125711.

11752128 is a `hidden beast` number, since 117 + 521 + 28 = 666.

It is a super-2 number, since 2×11752128² = 276225025056768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4051 + ... + 6317.

Almost surely, 2^11752128 is an apocalyptic number.

11752128 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 11752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426178).

11752128 is an abundant number, since it is smaller than the sum of its proper divisors (23100228).

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

11752128 is an equidigital number, since it uses as much as digits as its factorization.

11752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2272 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

The square root of 11752128 is about 3428.1376868498. The cubic root of 11752128 is about 227.3555207106.

Adding to 11752128 its reverse (82125711), we get a palindrome (93877839).

The spelling of 11752128 in words is "eleven million, seven hundred fifty-two thousand, one hundred twenty-eight".