28800319 has 16 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 27035424.

The previous prime is 28800313. The next prime is 28800323. The reversal of 28800319 is 91300882.

28800319 = 346² + 347² + ... + 503².

It is a cyclic number.

It is not a de Polignac number, because 28800319 - 2⁹ = 28799807 is a prime.

It is a super-2 number, since 2×28800319² = 1658916749003522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 172374 + ... + 172540.

It is an arithmetic number, because the mean of its divisors is an integer number (1915200).

Almost surely, 2^28800319 is an apocalyptic number.

28800319 is a deficient number, since it is larger than the sum of its proper divisors (1842881).

28800319 is a wasteful number, since it uses less digits than its factorization.

28800319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 28800319 is about 5366.5928669874. The cubic root of 28800319 is about 306.5249046787.

The spelling of 28800319 in words is "twenty-eight million, eight hundred thousand, three hundred nineteen".