8273887440 has 640 divisors, whose sum is σ = 33704509440. Its totient is φ = 1630347264.

The previous prime is 8273887429. The next prime is 8273887469. The reversal of 8273887440 is 447883728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52699842 + ... + 52699998.

It is an arithmetic number, because the mean of its divisors is an integer number (52663296).

Almost surely, 2^8273887440 is an apocalyptic number.

8273887440 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 8273887440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852254720).

8273887440 is an abundant number, since it is smaller than the sum of its proper divisors (25430622000).

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

8273887440 is a wasteful number, since it uses less digits than its factorization.

8273887440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 51.

The square root of 8273887440 is about 90960.9116049306. The cubic root of 8273887440 is about 2022.5683306657.

The spelling of 8273887440 in words is "eight billion, two hundred seventy-three million, eight hundred eighty-seven thousand, four hundred forty".