28845600 has 288 divisors, whose sum is σ = 114742656. Its totient is φ = 6144000.

The previous prime is 28845589. The next prime is 28845601. The reversal of 28845600 is 654882.

It is not an unprimeable number, because it can be changed into a prime (28845601) 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, 285550 + ... + 285650.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^28845600 is an apocalyptic number.

28845600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57371328).

28845600 is an abundant number, since it is smaller than the sum of its proper divisors (85897056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28845600 is a wasteful number, since it uses less digits than its factorization.

28845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 28845600 is about 5370.8099947773. The cubic root of 28845600 is about 306.6854640862.

The spelling of 28845600 in words is "twenty-eight million, eight hundred forty-five thousand, six hundred".