8228028432 has 320 divisors, whose sum is σ = 25349488640. Its totient is φ = 2276812800.

The previous prime is 8228028427. The next prime is 8228028433. The reversal of 8228028432 is 2348208228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (8228028433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22419513 + ... + 22419879.

It is an arithmetic number, because the mean of its divisors is an integer number (79217152).

Almost surely, 2^8228028432 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 8228028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674744320).

8228028432 is an abundant number, since it is smaller than the sum of its proper divisors (17121460208).

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

8228028432 is a wasteful number, since it uses less digits than its factorization.

8228028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 8228028432 is about 90708.4804855643. The cubic root of 8228028432 is about 2018.8246300826.

The spelling of 8228028432 in words is "eight billion, two hundred twenty-eight million, twenty-eight thousand, four hundred thirty-two".