8248284000 has 768 divisors, whose sum is σ = 33625912320. Its totient is φ = 1946880000.

The previous prime is 8248283977. The next prime is 8248284067. The reversal of 8248284000 is 4828428.

8248284000 is a `hidden beast` number, since 8 + 248 + 2 + 8 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62963935 + ... + 62964065.

It is an arithmetic number, because the mean of its divisors is an integer number (43783740).

Almost surely, 2^8248284000 is an apocalyptic number.

8248284000 is a gapful number since it is divisible by the number (80) 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 8248284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812956160).

8248284000 is an abundant number, since it is smaller than the sum of its proper divisors (25377628320).

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

8248284000 is a wasteful number, since it uses less digits than its factorization.

8248284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8248284000 is about 90820.0638625629. The cubic root of 8248284000 is about 2020.4799042759.

It can be divided in two parts, 824828 and 4000, that added together give a palindrome (828828).

The spelling of 8248284000 in words is "eight billion, two hundred forty-eight million, two hundred eighty-four thousand".