10928385 has 48 divisors (see below), whose sum is σ = 21081600. Its totient is φ = 5368896.

The previous prime is 10928383. The next prime is 10928417. The reversal of 10928385 is 58382901.

10928385 = 223² + 224² + ... + 352².

It is not a de Polignac number, because 10928385 - 2¹ = 10928383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10928383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22576 + ... + 23054.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 2^10928385 is an apocalyptic number.

10928385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10928385 is a deficient number, since it is larger than the sum of its proper divisors (10153215).

10928385 is a wasteful number, since it uses less digits than its factorization.

10928385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10928385 is about 3305.8107931338. The cubic root of 10928385 is about 221.9143204795.

The spelling of 10928385 in words is "ten million, nine hundred twenty-eight thousand, three hundred eighty-five".