11953128 has 64 divisors (see below), whose sum is σ = 34329600. Its totient is φ = 3430080.

The previous prime is 11953127. The next prime is 11953129. The reversal of 11953128 is 82135911.

It is an interprime number because it is at equal distance from previous prime (11953127) and next prime (11953129).

It is a junction number, because it is equal to n+sod(n) for n = 11953095 and 11953104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11953121) 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 15 ways as a sum of consecutive naturals, for example, 3825 + ... + 6207.

It is an arithmetic number, because the mean of its divisors is an integer number (536400).

Almost surely, 2^11953128 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 11953128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164800).

11953128 is an abundant number, since it is smaller than the sum of its proper divisors (22376472).

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

11953128 is a wasteful number, since it uses less digits than its factorization.

11953128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 11953128 is about 3457.3296053457. The cubic root of 11953128 is about 228.6443759727.

The spelling of 11953128 in words is "eleven million, nine hundred fifty-three thousand, one hundred twenty-eight".