28124731420128 has 768 divisors, whose sum is σ = 103098127104000. Its totient is φ = 7277340672000.

The previous prime is 28124731420069. The next prime is 28124731420139. The reversal of 28124731420128 is 82102413742182.

28124731420128 is a `hidden beast` number, since 2 + 8 + 12 + 473 + 1 + 42 + 0 + 128 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336535468 + ... + 336619028.

It is an arithmetic number, because the mean of its divisors is an integer number (134242353000).

Almost surely, 2^{28124731420128} is an apocalyptic number.

28124731420128 is a gapful number since it is divisible by the number (28) 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 28124731420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51549063552000).

28124731420128 is an abundant number, since it is smaller than the sum of its proper divisors (74973395683872).

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

28124731420128 is a wasteful number, since it uses less digits than its factorization.

28124731420128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83736 (or 83722 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28124731420128 in words is "twenty-eight trillion, one hundred twenty-four billion, seven hundred thirty-one million, four hundred twenty thousand, one hundred twenty-eight".