28800393 has 32 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 17208576.

The previous prime is 28800377. The next prime is 28800403. The reversal of 28800393 is 39300882.

It is not a de Polignac number, because 28800393 - 2⁴ = 28800377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28800313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73843 + ... + 74231.

It is an arithmetic number, because the mean of its divisors is an integer number (1333800).

Almost surely, 2^28800393 is an apocalyptic number.

28800393 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

28800393 is a deficient number, since it is larger than the sum of its proper divisors (13881207).

28800393 is a wasteful number, since it uses less digits than its factorization.

28800393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 28800393 is about 5366.5997614877. The cubic root of 28800393 is about 306.5251672085.

The spelling of 28800393 in words is "twenty-eight million, eight hundred thousand, three hundred ninety-three".