28039048128 has 560 divisors, whose sum is σ = 104471012800. Its totient is φ = 7388817408.

The previous prime is 28039048111. The next prime is 28039048129. The reversal of 28039048128 is 82184093082.

28039048128 is a `hidden beast` number, since 2 + 80 + 3 + 90 + 481 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28039048129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23114850 + ... + 23116062.

It is an arithmetic number, because the mean of its divisors is an integer number (186555380).

Almost surely, 2^28039048128 is an apocalyptic number.

28039048128 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 28039048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52235506400).

28039048128 is an abundant number, since it is smaller than the sum of its proper divisors (76431964672).

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

28039048128 is a wasteful number, since it uses less digits than its factorization.

28039048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28039048128 in words is "twenty-eight billion, thirty-nine million, forty-eight thousand, one hundred twenty-eight".