10256288 has 72 divisors (see below), whose sum is σ = 24361344. Its totient is φ = 4233600.

The previous prime is 10256269. The next prime is 10256291. The reversal of 10256288 is 88265201.

It is a Smith number, since the sum of its digits (32) 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 (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48503 + ... + 48713.

It is an arithmetic number, because the mean of its divisors is an integer number (338352).

Almost surely, 2^10256288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10256288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180672).

10256288 is an abundant number, since it is smaller than the sum of its proper divisors (14105056).

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

10256288 is a wasteful number, since it uses less digits than its factorization.

10256288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 10256288 is about 3202.5439887689. The cubic root of 10256288 is about 217.2684848824.

The spelling of 10256288 in words is "ten million, two hundred fifty-six thousand, two hundred eighty-eight".