28282800 has 360 divisors, whose sum is σ = 116565456. Its totient is φ = 5806080.

The previous prime is 28282741. The next prime is 28282817. The reversal of 28282800 is 828282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764382 + ... + 764418.

Almost surely, 2^28282800 is an apocalyptic number.

28282800 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 28282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58282728).

28282800 is an abundant number, since it is smaller than the sum of its proper divisors (88282656).

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

28282800 is a wasteful number, since it uses less digits than its factorization.

28282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 28282800 is about 5318.1575757023. The cubic root of 28282800 is about 304.6777928531.

The spelling of 28282800 in words is "twenty-eight million, two hundred eighty-two thousand, eight hundred".