28338577632 has 144 divisors (see below), whose sum is σ = 82230640128. Its totient is φ = 9254169600.

The previous prime is 28338577621. The next prime is 28338577717. The reversal of 28338577632 is 23677583382.

28338577632 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 8 + 577 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17568058 + ... + 17569670.

It is an arithmetic number, because the mean of its divisors is an integer number (571046112).

Almost surely, 2^28338577632 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 28338577632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41115320064).

28338577632 is an abundant number, since it is smaller than the sum of its proper divisors (53892062496).

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

28338577632 is a wasteful number, since it uses less digits than its factorization.

28338577632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2822 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 28338577632 in words is "twenty-eight billion, three hundred thirty-eight million, five hundred seventy-seven thousand, six hundred thirty-two".