11887128 has 64 divisors (see below), whose sum is σ = 36028800. Its totient is φ = 3601440.

The previous prime is 11887121. The next prime is 11887133. The reversal of 11887128 is 82178811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11887092 and 11887101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11887121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (562950).

Almost surely, 2^11887128 is an apocalyptic number.

11887128 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 11887128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014400).

11887128 is an abundant number, since it is smaller than the sum of its proper divisors (24141672).

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

11887128 is a wasteful number, since it uses less digits than its factorization.

11887128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5019 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 11887128 is about 3447.7714541425. The cubic root of 11887128 is about 228.2227739512. Note that the first 3 decimals are identical.

The spelling of 11887128 in words is "eleven million, eight hundred eighty-seven thousand, one hundred twenty-eight".