27768728253 has 128 divisors (see below), whose sum is σ = 46607081472. Its totient is φ = 14364573696.

The previous prime is 27768728227. The next prime is 27768728261. The reversal of 27768728253 is 35282786772.

It is not a de Polignac number, because 27768728253 - 2⁸ = 27768727997 is a prime.

It is a super-2 number, since 2×27768728253² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27768728193 and 27768728202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27768728213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143879325 + ... + 143879517.

It is an arithmetic number, because the mean of its divisors is an integer number (364117824).

Almost surely, 2^27768728253 is an apocalyptic number.

27768728253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27768728253 is a deficient number, since it is larger than the sum of its proper divisors (18838353219).

27768728253 is a wasteful number, since it uses less digits than its factorization.

27768728253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443.

The product of its digits is 15805440, while the sum is 57.

The spelling of 27768728253 in words is "twenty-seven billion, seven hundred sixty-eight million, seven hundred twenty-eight thousand, two hundred fifty-three".