283528600 has 48 divisors (see below), whose sum is σ = 665415000. Its totient is φ = 112343040.

The previous prime is 283528591. The next prime is 283528607. The reversal of 283528600 is 6825382.

283528600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283528607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14776 + ... + 28024.

Almost surely, 2^283528600 is an apocalyptic number.

283528600 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 283528600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332707500).

283528600 is an abundant number, since it is smaller than the sum of its proper divisors (381886400).

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

283528600 is a wasteful number, since it uses less digits than its factorization.

283528600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 283528600 is about 16838.3075158996. The cubic root of 283528600 is about 656.9499609366.

The spelling of 283528600 in words is "two hundred eighty-three million, five hundred twenty-eight thousand, six hundred".