27935028 has 90 divisors (see below), whose sum is σ = 79139970. Its totient is φ = 8305440.

The previous prime is 27935027. The next prime is 27935059. The reversal of 27935028 is 82053972.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 25826724 + 2108304 = 5082^2 + 1452^2 .

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 = 27934983 and 27935001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27935027) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 527050 + ... + 527102.

It is an arithmetic number, because the mean of its divisors is an integer number (879333).

Almost surely, 2^27935028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27935028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39569985).

27935028 is an abundant number, since it is smaller than the sum of its proper divisors (51204942).

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

27935028 is a wasteful number, since it uses less digits than its factorization.

27935028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 27935028 is about 5285.3597796177. The cubic root of 27935028 is about 303.4238423574.

It can be divided in two parts, 279350 and 28, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 27935028 in words is "twenty-seven million, nine hundred thirty-five thousand, twenty-eight".