27970128 has 60 divisors (see below), whose sum is σ = 82405440. Its totient is φ = 8831808.

The previous prime is 27970127. The next prime is 27970133. The reversal of 27970128 is 82107972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27970092 and 27970101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27970127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (1373424).

Almost surely, 2^27970128 is an apocalyptic number.

It is an amenable number.

27970128 is an abundant number, since it is smaller than the sum of its proper divisors (54435312).

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

27970128 is a wasteful number, since it uses less digits than its factorization.

27970128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10256 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 27970128 is about 5288.6792302048. The cubic root of 27970128 is about 303.5508718748.

It can be divided in two parts, 279 and 70128, that added together give a palindrome (70407).

The spelling of 27970128 in words is "twenty-seven million, nine hundred seventy thousand, one hundred twenty-eight".