28594800 has 270 divisors, whose sum is σ = 109738512. Its totient is φ = 6888960.

The previous prime is 28594793. The next prime is 28594807. The reversal of 28594800 is 849582.

It is an interprime number because it is at equal distance from previous prime (28594793) and next prime (28594807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28594807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 608377 + ... + 608423.

Almost surely, 2^28594800 is an apocalyptic number.

28594800 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 28594800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54869256).

28594800 is an abundant number, since it is smaller than the sum of its proper divisors (81143712).

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

28594800 is a wasteful number, since it uses less digits than its factorization.

28594800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28594800 is about 5347.4105883128. The cubic root of 28594800 is about 305.7940431344.

The spelling of 28594800 in words is "twenty-eight million, five hundred ninety-four thousand, eight hundred".