28709327664 has 400 divisors, whose sum is σ = 91046672640. Its totient is φ = 8709120000.

The previous prime is 28709327659. The next prime is 28709327701. The reversal of 28709327664 is 46672390782.

28709327664 is a `hidden beast` number, since 287 + 0 + 93 + 276 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28709327664.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47768964 + ... + 47769564.

Almost surely, 2^28709327664 is an apocalyptic number.

28709327664 is a gapful number since it is divisible by the number (24) 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 28709327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45523336320).

28709327664 is an abundant number, since it is smaller than the sum of its proper divisors (62337344976).

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

28709327664 is a wasteful number, since it uses less digits than its factorization.

28709327664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 28709327664 in words is "twenty-eight billion, seven hundred nine million, three hundred twenty-seven thousand, six hundred sixty-four".