25928882928 has 360 divisors, whose sum is σ = 83429472672. Its totient is φ = 7458536448.

The previous prime is 25928882879. The next prime is 25928882929. The reversal of 25928882928 is 82928882952.

25928882928 is a `hidden beast` number, since 259 + 288 + 82 + 9 + 28 = 666.

It is a super-5 number, since 5×25928882928⁵ (a number of 53 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25928882929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149877850 + ... + 149878022.

Almost surely, 2^25928882928 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 25928882928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41714736336).

25928882928 is an abundant number, since it is smaller than the sum of its proper divisors (57500589744).

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

25928882928 is a wasteful number, since it uses less digits than its factorization.

25928882928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 273 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 25928882928 in words is "twenty-five billion, nine hundred twenty-eight million, eight hundred eighty-two thousand, nine hundred twenty-eight".