11428585 has 16 divisors (see below), whose sum is σ = 16356096. Its totient is φ = 7495488.

The previous prime is 11428559. The next prime is 11428591. The reversal of 11428585 is 58582411.

11428585 = 501² + 502² + ... + 542².

It is not a de Polignac number, because 11428585 - 2¹³ = 11420393 is a prime.

It is a super-2 number, since 2×11428585² = 261225110204450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11428585.

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 15 ways as a sum of consecutive naturals, for example, 6294 + ... + 7903.

It is an arithmetic number, because the mean of its divisors is an integer number (1022256).

Almost surely, 2^11428585 is an apocalyptic number.

It is an amenable number.

11428585 is a deficient number, since it is larger than the sum of its proper divisors (4927511).

11428585 is a wasteful number, since it uses less digits than its factorization.

11428585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14232.

The product of its digits is 12800, while the sum is 34.

The square root of 11428585 is about 3380.6190261548. The cubic root of 11428585 is about 225.2496652500.

The spelling of 11428585 in words is "eleven million, four hundred twenty-eight thousand, five hundred eighty-five".