28234654709184 has 896 divisors, whose sum is σ = 109319846952960. Its totient is φ = 7014759459840.

The previous prime is 28234654709179. The next prime is 28234654709227. The reversal of 28234654709184 is 48190745643282.

28234654709184 is a `hidden beast` number, since 2 + 8 + 2 + 3 + 4 + 6 + 547 + 0 + 9 + 1 + 84 = 666.

It is a super-2 number, since 2×28234654709184² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 247826377 + ... + 247940279.

It is an arithmetic number, because the mean of its divisors is an integer number (122008757760).

It is a 1-persistent number, because it is pandigital, but 2⋅28234654709184 = 56469309418368 is not.

Almost surely, 2^{28234654709184} is an apocalyptic number.

28234654709184 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 28234654709184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54659923476480).

28234654709184 is an abundant number, since it is smaller than the sum of its proper divisors (81085192243776).

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

28234654709184 is a wasteful number, since it uses less digits than its factorization.

28234654709184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113977 (or 113949 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 28234654709184 in words is "twenty-eight trillion, two hundred thirty-four billion, six hundred fifty-four million, seven hundred nine thousand, one hundred eighty-four".