28712963601 has 27 divisors (see below), whose sum is σ = 48251571771. Its totient is φ = 16405374384.

The previous prime is 28712963567. The next prime is 28712963621. The reversal of 28712963601 is 10636921782.

The square root of 28712963601 is 169449.

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

28712963601 is a `hidden beast` number, since 2 + 8 + 7 + 1 + 2 + 9 + 636 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64016001 + 28648947600 = 8001^2 + 169260^2 .

It is not a de Polignac number, because 28712963601 - 2⁷ = 28712963473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28712963621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3554395 + ... + 3562463.

Almost surely, 2^28712963601 is an apocalyptic number.

28712963601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28712963601 is the 169449-th square number.

28712963601 is the 84725-th centered octagonal number.

It is an amenable number.

28712963601 is a deficient number, since it is larger than the sum of its proper divisors (19538608170).

28712963601 is an frugal number, since it uses more digits than its factorization.

28712963601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16158 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28712963601 in words is "twenty-eight billion, seven hundred twelve million, nine hundred sixty-three thousand, six hundred one".