27829028 has 24 divisors (see below), whose sum is σ = 50009400. Its totient is φ = 13544960.

The previous prime is 27829027. The next prime is 27829031. The reversal of 27829028 is 82092872.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 27478564 = 592^2 + 5242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27828982 and 27829000.

It is not an unprimeable number, because it can be changed into a prime (27829027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31148 + ... + 32028.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 2^27829028 is an apocalyptic number.

It is an amenable number.

27829028 is a deficient number, since it is larger than the sum of its proper divisors (22180372).

27829028 is a wasteful number, since it uses less digits than its factorization.

27829028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 27829028 is about 5275.3225493803. The cubic root of 27829028 is about 303.0395733766.

The spelling of 27829028 in words is "twenty-seven million, eight hundred twenty-nine thousand, twenty-eight".