10288480 has 24 divisors (see below), whose sum is σ = 24306912. Its totient is φ = 4115328.

The previous prime is 10288471. The next prime is 10288493. The reversal of 10288480 is 8488201.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 31992 + ... + 32311.

It is an arithmetic number, because the mean of its divisors is an integer number (1012788).

Almost surely, 2^10288480 is an apocalyptic number.

10288480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10288480 is an abundant number, since it is smaller than the sum of its proper divisors (14018432).

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

10288480 is an equidigital number, since it uses as much as digits as its factorization.

10288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64318 (or 64310 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 10288480 is about 3207.5660554383. The cubic root of 10288480 is about 217.4955651538.

The spelling of 10288480 in words is "ten million, two hundred eighty-eight thousand, four hundred eighty".