11289888 has 96 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 3691008.

The previous prime is 11289877. The next prime is 11289899. The reversal of 11289888 is 88898211.

It is an interprime number because it is at equal distance from previous prime (11289877) and next prime (11289899).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62983 + ... + 63161.

It is an arithmetic number, because the mean of its divisors is an integer number (349650).

Almost surely, 2^11289888 is an apocalyptic number.

11289888 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 11289888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

11289888 is an abundant number, since it is smaller than the sum of its proper divisors (22276512).

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

11289888 is a wasteful number, since it uses less digits than its factorization.

11289888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 11289888 is about 3360.0428568695. The cubic root of 11289888 is about 224.3347461041.

It can be divided in two parts, 112 and 89888, that added together give a square (90000 = 300²).

The spelling of 11289888 in words is "eleven million, two hundred eighty-nine thousand, eight hundred eighty-eight".