28672586712 has 768 divisors, whose sum is σ = 107079598080. Its totient is φ = 6970406400.

The previous prime is 28672586711. The next prime is 28672586777. The reversal of 28672586712 is 21768527682.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28672586711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171692053 + ... + 171692219.

It is an arithmetic number, because the mean of its divisors is an integer number (139426560).

Almost surely, 2^28672586712 is an apocalyptic number.

28672586712 is a gapful number since it is divisible by the number (22) 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 28672586712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53539799040).

28672586712 is an abundant number, since it is smaller than the sum of its proper divisors (78407011368).

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

28672586712 is a wasteful number, since it uses less digits than its factorization.

28672586712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 28672586712 in words is "twenty-eight billion, six hundred seventy-two million, five hundred eighty-six thousand, seven hundred twelve".