28125033316416 has 315 divisors, whose sum is σ = 84612986657991. Its totient is φ = 9237422186496.

The previous prime is 28125033316333. The next prime is 28125033316441. The reversal of 28125033316416 is 61461333052182.

The square root of 28125033316416 is 5303304.

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

28125033316416 is a `hidden beast` number, since 2 + 8 + 1 + 250 + 3 + 331 + 64 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 475272360000 + 27649760956416 = 689400^2 + 5258304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27874165320 + ... + 27874166328.

Almost surely, 2^{28125033316416} is an apocalyptic number.

28125033316416 is the 5303304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28125033316416

28125033316416 is an abundant number, since it is smaller than the sum of its proper divisors (56487953341575).

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

28125033316416 is an frugal number, since it uses more digits than its factorization.

28125033316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 28125033316416 its reverse (61461333052182), we get a palindrome (89586366368598).

The spelling of 28125033316416 in words is "twenty-eight trillion, one hundred twenty-five billion, thirty-three million, three hundred sixteen thousand, four hundred sixteen".