28191753216 has 495 divisors, whose sum is σ = 94314008173. Its totient is φ = 8381767680.

The previous prime is 28191753211. The next prime is 28191753287. The reversal of 28191753216 is 61235719182.

The square root of 28191753216 is 167904.

It is a perfect power (a square), and thus also a powerful number.

28191753216 is a `hidden beast` number, since 28 + 1 + 91 + 7 + 532 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20323353600 + 7868399616 = 142560^2 + 88704^2 .

Its product of digits (181440) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (28191753211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 531919846 + ... + 531919898.

Almost surely, 2^28191753216 is an apocalyptic number.

28191753216 is the 167904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28191753216

28191753216 is an abundant number, since it is smaller than the sum of its proper divisors (66122254957).

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

28191753216 is an equidigital number, since it uses as much as digits as its factorization.

28191753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 69 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 28191753216 in words is "twenty-eight billion, one hundred ninety-one million, seven hundred fifty-three thousand, two hundred sixteen".