28617607680 has 320 divisors, whose sum is σ = 94309142400. Its totient is φ = 7398752256.

The previous prime is 28617607661. The next prime is 28617607727. The reversal of 28617607680 is 8670671682.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63736096 + ... + 63736544.

It is an arithmetic number, because the mean of its divisors is an integer number (294716070).

Almost surely, 2^28617607680 is an apocalyptic number.

28617607680 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 28617607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47154571200).

28617607680 is an abundant number, since it is smaller than the sum of its proper divisors (65691534720).

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

28617607680 is a wasteful number, since it uses less digits than its factorization.

28617607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 28617607680 in words is "twenty-eight billion, six hundred seventeen million, six hundred seven thousand, six hundred eighty".