10288772 has 24 divisors (see below), whose sum is σ = 19494552. Its totient is φ = 4723200.

The previous prime is 10288753. The next prime is 10288781. The reversal of 10288772 is 27788201.

It can be written as a sum of positive squares in 4 ways, for example, as 454276 + 9834496 = 674^2 + 3136^2 .

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 7 ways as a sum of consecutive naturals, for example, 12122 + ... + 12942.

It is an arithmetic number, because the mean of its divisors is an integer number (812273).

Almost surely, 2^10288772 is an apocalyptic number.

It is an amenable number.

10288772 is a deficient number, since it is larger than the sum of its proper divisors (9205780).

10288772 is a wasteful number, since it uses less digits than its factorization.

10288772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 10288772 is about 3207.6115724944. The cubic root of 10288772 is about 217.4976227335.

The spelling of 10288772 in words is "ten million, two hundred eighty-eight thousand, seven hundred seventy-two".