28645671925728 has 2880 divisors, whose sum is σ = 108456615235584. Its totient is φ = 7336562688000.

The previous prime is 28645671925693. The next prime is 28645671925763. The reversal of 28645671925728 is 82752917654682.

28645671925728 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 567 + 1 + 9 + 2 + 57 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28645671925693) and next prime (28645671925763).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 392406464700 + ... + 392406464772.

Almost surely, 2^{28645671925728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28645671925728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54228307617792).

28645671925728 is an abundant number, since it is smaller than the sum of its proper divisors (79810943309856).

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

28645671925728 is a wasteful number, since it uses less digits than its factorization.

28645671925728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 28645671925728 in words is "twenty-eight trillion, six hundred forty-five billion, six hundred seventy-one million, nine hundred twenty-five thousand, seven hundred twenty-eight".