11280192 has 168 divisors, whose sum is σ = 38221920. Its totient is φ = 2903040.

The previous prime is 11280161. The next prime is 11280193. The reversal of 11280192 is 29108211.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11280193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103434 + ... + 103542.

Almost surely, 2^11280192 is an apocalyptic number.

11280192 is a gapful number since it is divisible by the number (12) 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 11280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110960).

11280192 is an abundant number, since it is smaller than the sum of its proper divisors (26941728).

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

11280192 is a wasteful number, since it uses less digits than its factorization.

11280192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11280192 is about 3358.5997082117. The cubic root of 11280192 is about 224.2705065332.

The spelling of 11280192 in words is "eleven million, two hundred eighty thousand, one hundred ninety-two".