10889280 has 168 divisors, whose sum is σ = 39624000. Its totient is φ = 2737152.

The previous prime is 10889273. The next prime is 10889287. The reversal of 10889280 is 8298801.

It is an interprime number because it is at equal distance from previous prime (10889273) and next prime (10889287).

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

It is not an unprimeable number, because it can be changed into a prime (10889287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54621 + ... + 54819.

Almost surely, 2^10889280 is an apocalyptic number.

10889280 is a gapful number since it is divisible by the number (10) 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 10889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812000).

10889280 is an abundant number, since it is smaller than the sum of its proper divisors (28734720).

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

10889280 is a wasteful number, since it uses less digits than its factorization.

10889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10889280 is about 3299.8909072877. The cubic root of 10889280 is about 221.6493124020.

The spelling of 10889280 in words is "ten million, eight hundred eighty-nine thousand, two hundred eighty".