8282898000 has 1120 divisors, whose sum is σ = 35520226560. Its totient is φ = 1847577600.

The previous prime is 8282897989. The next prime is 8282898011. The reversal of 8282898000 is 8982828.

It is an interprime number because it is at equal distance from previous prime (8282897989) and next prime (8282898011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 360125989 + ... + 360126011.

It is an arithmetic number, because the mean of its divisors is an integer number (31714488).

Almost surely, 2^8282898000 is an apocalyptic number.

8282898000 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 8282898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760113280).

8282898000 is an abundant number, since it is smaller than the sum of its proper divisors (27237328560).

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

8282898000 is a wasteful number, since it uses less digits than its factorization.

8282898000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8282898000 is about 91010.4279739415. The cubic root of 8282898000 is about 2023.3022807678.

The spelling of 8282898000 in words is "eight billion, two hundred eighty-two million, eight hundred ninety-eight thousand".