28134213719040 has 1232 divisors, whose sum is σ = 118879790553216. Its totient is φ = 6295648665600.

The previous prime is 28134213719023. The next prime is 28134213719047. The reversal of 28134213719040 is 4091731243182.

28134213719040 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 421 + 37 + 190 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28134213719047) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 533718285 + ... + 533770995.

It is an arithmetic number, because the mean of its divisors is an integer number (96493336488).

Almost surely, 2^{28134213719040} is an apocalyptic number.

28134213719040 is a gapful number since it is divisible by the number (20) 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 28134213719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439895276608).

28134213719040 is an abundant number, since it is smaller than the sum of its proper divisors (90745576834176).

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

28134213719040 is a wasteful number, since it uses less digits than its factorization.

28134213719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52778 (or 52745 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28134213719040 in words is "twenty-eight trillion, one hundred thirty-four billion, two hundred thirteen million, seven hundred nineteen thousand, forty".