28715220679680 has 1760 divisors, whose sum is σ = 109812289044480. Its totient is φ = 7163495055360.

The previous prime is 28715220679669. The next prime is 28715220679699. The reversal of 28715220679680 is 8697602251782.

28715220679680 is a `hidden beast` number, since 28 + 7 + 1 + 522 + 0 + 6 + 7 + 9 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70208363316 + ... + 70208363724.

It is an arithmetic number, because the mean of its divisors is an integer number (62393346048).

Almost surely, 2^{28715220679680} is an apocalyptic number.

28715220679680 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 28715220679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54906144522240).

28715220679680 is an abundant number, since it is smaller than the sum of its proper divisors (81097068364800).

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

28715220679680 is a wasteful number, since it uses less digits than its factorization.

28715220679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 28715220679680 in words is "twenty-eight trillion, seven hundred fifteen billion, two hundred twenty million, six hundred seventy-nine thousand, six hundred eighty".