8004228640 has 48 divisors (see below), whose sum is σ = 18915337728. Its totient is φ = 3200786176.

The previous prime is 8004228623. The next prime is 8004228641. The reversal of 8004228640 is 468224008.

It is a super-2 number, since 2×8004228640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8004228596 and 8004228605.

It is not an unprimeable number, because it can be changed into a prime (8004228641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123329 + ... + 1130431.

It is an arithmetic number, because the mean of its divisors is an integer number (394069536).

Almost surely, 2^8004228640 is an apocalyptic number.

8004228640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004228640 is an abundant number, since it is smaller than the sum of its proper divisors (10911109088).

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

8004228640 is a wasteful number, since it uses less digits than its factorization.

8004228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14161 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 8004228640 is about 89466.3547932965. The cubic root of 8004228640 is about 2000.3523245967.

The spelling of 8004228640 in words is "eight billion, four million, two hundred twenty-eight thousand, six hundred forty".