8281827840 has 320 divisors, whose sum is σ = 31108758912. Its totient is φ = 1853030400.

The previous prime is 8281827839. The next prime is 8281827889. The reversal of 8281827840 is 487281828.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8281827840.

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, 1094470 + ... + 1102010.

Almost surely, 2^8281827840 is an apocalyptic number.

8281827840 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 8281827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554379456).

8281827840 is an abundant number, since it is smaller than the sum of its proper divisors (22826931072).

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

8281827840 is a wasteful number, since it uses less digits than its factorization.

8281827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 8281827840 is about 91004.5484577557. The cubic root of 8281827840 is about 2023.2151393500.

The spelling of 8281827840 in words is "eight billion, two hundred eighty-one million, eight hundred twenty-seven thousand, eight hundred forty".