28879542812961 has 9 divisors (see below), whose sum is σ = 41714918461489. Its totient is φ = 19253017794036.

The previous prime is 28879542812947. The next prime is 28879542812963. The reversal of 28879542812961 is 16921824597882.

The square root of 28879542812961 is 5373969.

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

28879542812961 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 9 + 54 + 281 + 296 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 28879542812961 - 2¹⁷ = 28879542681889 is a prime.

It is a super-3 number, since 3×28879542812961³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28879542812961.

It is not an unprimeable number, because it can be changed into a prime (28879542812963) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15226246 + ... + 17017568.

Almost surely, 2^{28879542812961} is an apocalyptic number.

28879542812961 is the 5373969-th square number.

28879542812961 is the 2686985-th centered octagonal number.

It is an amenable number.

28879542812961 is a deficient number, since it is larger than the sum of its proper divisors (12835375648528).

28879542812961 is an frugal number, since it uses more digits than its factorization.

28879542812961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582652 (or 1791326 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 28879542812961 in words is "twenty-eight trillion, eight hundred seventy-nine billion, five hundred forty-two million, eight hundred twelve thousand, nine hundred sixty-one".