28019401127424 has 1280 divisors, whose sum is σ = 102988608307200. Its totient is φ = 7342152450048.

The previous prime is 28019401127411. The next prime is 28019401127447. The reversal of 28019401127424 is 42472110491082.

28019401127424 is a `hidden beast` number, since 2 + 8 + 0 + 194 + 0 + 11 + 27 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28019401127424.

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 127 ways as a sum of consecutive naturals, for example, 15170221669 + ... + 15170223515.

It is an arithmetic number, because the mean of its divisors is an integer number (80459850240).

Almost surely, 2^{28019401127424} is an apocalyptic number.

28019401127424 is a gapful number since it is divisible by the number (24) 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 28019401127424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51494304153600).

28019401127424 is an abundant number, since it is smaller than the sum of its proper divisors (74969207179776).

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

28019401127424 is a wasteful number, since it uses less digits than its factorization.

28019401127424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28019401127424 in words is "twenty-eight trillion, nineteen billion, four hundred one million, one hundred twenty-seven thousand, four hundred twenty-four".