10000284 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 2614272.

The previous prime is 10000271. The next prime is 10000303. The reversal of 10000284 is 48200001.

10000284 = 367² + 368² + ... + 429².

10000284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67042 + ... + 67190.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^10000284 is an apocalyptic number.

10000284 is a gapful number since it is divisible by the number (14) 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 10000284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10000284 is an abundant number, since it is smaller than the sum of its proper divisors (19030116).

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

10000284 is a wasteful number, since it uses less digits than its factorization.

10000284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 10000284 is about 3162.3225641923. The cubic root of 10000284 is about 215.4455085154.

Adding to 10000284 its reverse (48200001), we get a palindrome (58200285).

The spelling of 10000284 in words is "ten million, two hundred eighty-four", and thus it is an aban number.