10882872 has 192 divisors, whose sum is σ = 39836160. Its totient is φ = 2592000.

The previous prime is 10882853. The next prime is 10882901. The reversal of 10882872 is 27828801.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 71997 + ... + 72147.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 2^10882872 is an apocalyptic number.

10882872 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 10882872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918080).

10882872 is an abundant number, since it is smaller than the sum of its proper divisors (28953288).

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

10882872 is a wasteful number, since it uses less digits than its factorization.

10882872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10882872 is about 3298.9198232149. The cubic root of 10882872 is about 221.6058259795.

It can be divided in two parts, 108828 and 72, that added together give a square (108900 = 330²).

The spelling of 10882872 in words is "ten million, eight hundred eighty-two thousand, eight hundred seventy-two".