28509984801 has 45 divisors (see below), whose sum is σ = 43349063241. Its totient is φ = 18673348608.

The previous prime is 28509984791. The next prime is 28509984817. The reversal of 28509984801 is 10848990582.

The square root of 28509984801 is 168849.

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

28509984801 is a `hidden beast` number, since 2 + 8 + 509 + 98 + 48 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12633984801 + 15876000000 = 112401^2 + 126000^2 .

It is not a de Polignac number, because 28509984801 - 2¹⁵ = 28509952033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28509980801) 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, 110933665 + ... + 110933921.

Almost surely, 2^28509984801 is an apocalyptic number.

28509984801 is the 168849-th square number.

28509984801 is the 84425-th centered octagonal number.

It is an amenable number.

28509984801 is a deficient number, since it is larger than the sum of its proper divisors (14839078440).

28509984801 is an frugal number, since it uses more digits than its factorization.

28509984801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 28509984801 in words is "twenty-eight billion, five hundred nine million, nine hundred eighty-four thousand, eight hundred one".