11279088 has 70 divisors (see below), whose sum is σ = 32798744. Its totient is φ = 3755808.

The previous prime is 11279087. The next prime is 11279101. The reversal of 11279088 is 88097211.

It is a super-2 number, since 2×11279088² = 254435652223488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11279087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11181 + ... + 12147.

Almost surely, 2^11279088 is an apocalyptic number.

11279088 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 11279088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16399372).

11279088 is an abundant number, since it is smaller than the sum of its proper divisors (21519656).

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

11279088 is an frugal number, since it uses more digits than its factorization.

11279088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11279088 is about 3358.4353499807. The cubic root of 11279088 is about 224.2631897925.

The spelling of 11279088 in words is "eleven million, two hundred seventy-nine thousand, eighty-eight".