8047413828 has 120 divisors (see below), whose sum is σ = 22340451672. Its totient is φ = 2517267456.

The previous prime is 8047413823. The next prime is 8047413859. The reversal of 8047413828 is 8283147408.

It can be written as a sum of positive squares in 4 ways, for example, as 3573409284 + 4474004544 = 59778^2 + 66888^2 .

It is a super-2 number, since 2×8047413828² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8047413823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2052526 + ... + 2056442.

Almost surely, 2^8047413828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8047413828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170225836).

8047413828 is an abundant number, since it is smaller than the sum of its proper divisors (14293037844).

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

8047413828 is a wasteful number, since it uses less digits than its factorization.

8047413828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8047413828 is about 89707.3788938234. The cubic root of 8047413828 is about 2003.9433721314.

It can be divided in two parts, 8047 and 413828, that added together give a cube (421875 = 75³).

The spelling of 8047413828 in words is "eight billion, forty-seven million, four hundred thirteen thousand, eight hundred twenty-eight".