10288420 has 24 divisors (see below), whose sum is σ = 21974400. Its totient is φ = 4045152.

The previous prime is 10288403. The next prime is 10288423. The reversal of 10288420 is 2488201.

It is not an unprimeable number, because it can be changed into a prime (10288423) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3180 + ... + 5539.

It is an arithmetic number, because the mean of its divisors is an integer number (915600).

Almost surely, 2^10288420 is an apocalyptic number.

10288420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10288420 is an abundant number, since it is smaller than the sum of its proper divisors (11685980).

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

10288420 is a wasteful number, since it uses less digits than its factorization.

10288420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8787 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 10288420 is about 3207.5567025386. The cubic root of 10288420 is about 217.4951423586.

The spelling of 10288420 in words is "ten million, two hundred eighty-eight thousand, four hundred twenty".