28328644080 has 320 divisors, whose sum is σ = 106851018240. Its totient is φ = 6841497600.

The previous prime is 28328644039. The next prime is 28328644087. The reversal of 28328644080 is 8044682382.

28328644080 is a `hidden beast` number, since 28 + 32 + 86 + 440 + 80 = 666.

It is a super-2 number, since 2×28328644080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28328644087) 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, 6674439 + ... + 6678681.

It is an arithmetic number, because the mean of its divisors is an integer number (333909432).

Almost surely, 2^28328644080 is an apocalyptic number.

28328644080 is a gapful number since it is divisible by the number (20) 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 28328644080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53425509120).

28328644080 is an abundant number, since it is smaller than the sum of its proper divisors (78522374160).

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

28328644080 is a wasteful number, since it uses less digits than its factorization.

28328644080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 28328644080 in words is "twenty-eight billion, three hundred twenty-eight million, six hundred forty-four thousand, eighty".