28534356920160 has 3456 divisors, whose sum is σ = 134107157882880. Its totient is φ = 5603037732864.

The previous prime is 28534356920089. The next prime is 28534356920227. The reversal of 28534356920160 is 6102965343582.

It is a happy number.

28534356920160 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 43 + 569 + 20 + 16 + 0 = 666.

It is a super-2 number, since 2×28534356920160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28534356920097 and 28534356920106.

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 575 ways as a sum of consecutive naturals, for example, 771198835662 + ... + 771198835698.

It is an arithmetic number, because the mean of its divisors is an integer number (38804154480).

Almost surely, 2^{28534356920160} is an apocalyptic number.

28534356920160 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 28534356920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67053578941440).

28534356920160 is an abundant number, since it is smaller than the sum of its proper divisors (105572800962720).

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

28534356920160 is an equidigital number, since it uses as much as digits as its factorization.

28534356920160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 28534356920160 in words is "twenty-eight trillion, five hundred thirty-four billion, three hundred fifty-six million, nine hundred twenty thousand, one hundred sixty".