8242829280 has 576 divisors, whose sum is σ = 34166845440. Its totient is φ = 1767702528.

The previous prime is 8242829249. The next prime is 8242829317. The reversal of 8242829280 is 829282428.

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 95 ways as a sum of consecutive naturals, for example, 36963249 + ... + 36963471.

It is an arithmetic number, because the mean of its divisors is an integer number (59317440).

Almost surely, 2^8242829280 is an apocalyptic number.

8242829280 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 8242829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17083422720).

8242829280 is an abundant number, since it is smaller than the sum of its proper divisors (25924016160).

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

8242829280 is a wasteful number, since it uses less digits than its factorization.

8242829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8242829280 is about 90790.0285273664. The cubic root of 8242829280 is about 2020.0344143403.

The spelling of 8242829280 in words is "eight billion, two hundred forty-two million, eight hundred twenty-nine thousand, two hundred eighty".