10281888 has 72 divisors (see below), whose sum is σ = 30794400. Its totient is φ = 3245184.

The previous prime is 10281847. The next prime is 10281911. The reversal of 10281888 is 88818201.

It is a happy number.

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

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

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 11 ways as a sum of consecutive naturals, for example, 4533 + ... + 6411.

It is an arithmetic number, because the mean of its divisors is an integer number (427700).

Almost surely, 2^10281888 is an apocalyptic number.

10281888 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 10281888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397200).

10281888 is an abundant number, since it is smaller than the sum of its proper divisors (20512512).

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

10281888 is a wasteful number, since it uses less digits than its factorization.

10281888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 10281888 is about 3206.5383203698. The cubic root of 10281888 is about 217.4491042227.

It can be divided in two parts, 1028188 and 8, that added together give a square (1028196 = 1014²).

The spelling of 10281888 in words is "ten million, two hundred eighty-one thousand, eight hundred eighty-eight".