10888128 has 56 divisors (see below), whose sum is σ = 32014160. Its totient is φ = 3628800.

The previous prime is 10888093. The next prime is 10888181. The reversal of 10888128 is 82188801.

It is a happy number.

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 = 10888092 and 10888101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1423 + ... + 4878.

Almost surely, 2^10888128 is an apocalyptic number.

10888128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10888128 is an abundant number, since it is smaller than the sum of its proper divisors (21126032).

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

10888128 is an equidigital number, since it uses as much as digits as its factorization.

10888128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 10888128 is about 3299.7163514460. The cubic root of 10888128 is about 221.6414958762.

It can be divided in two parts, 1088 and 8128, that added together give a square (9216 = 96²).

The spelling of 10888128 in words is "ten million, eight hundred eighty-eight thousand, one hundred twenty-eight".