28672680960 has 528 divisors, whose sum is σ = 123880378752. Its totient is φ = 5957222400.

The previous prime is 28672680943. The next prime is 28672680961. The reversal of 28672680960 is 6908627682.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 28672680897 and 28672680906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28672680961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3544120 + ... + 3552200.

Almost surely, 2^28672680960 is an apocalyptic number.

28672680960 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 28672680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61940189376).

28672680960 is an abundant number, since it is smaller than the sum of its proper divisors (95207697792).

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

28672680960 is a wasteful number, since it uses less digits than its factorization.

28672680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8109 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28672680960 in words is "twenty-eight billion, six hundred seventy-two million, six hundred eighty thousand, nine hundred sixty".