11282976 has 72 divisors (see below), whose sum is σ = 33297264. Its totient is φ = 3758400.

The previous prime is 11282933. The next prime is 11282989. The reversal of 11282976 is 67928211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11282976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 8501.

It is an arithmetic number, because the mean of its divisors is an integer number (462462).

Almost surely, 2^11282976 is an apocalyptic number.

11282976 is a gapful number since it is divisible by the number (16) 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 11282976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632).

11282976 is an abundant number, since it is smaller than the sum of its proper divisors (22014288).

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

11282976 is an equidigital number, since it uses as much as digits as its factorization.

11282976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1456 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11282976 is about 3359.0141410837. The cubic root of 11282976 is about 224.2889553247.

The spelling of 11282976 in words is "eleven million, two hundred eighty-two thousand, nine hundred seventy-six".