27825028 has 48 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 10656000.

The previous prime is 27825023. The next prime is 27825059. The reversal of 27825028 is 82052872.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27824984 and 27825002.

It is not an unprimeable number, because it can be changed into a prime (27825023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18048 + ... + 19528.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^27825028 is an apocalyptic number.

27825028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27825028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

27825028 is an abundant number, since it is smaller than the sum of its proper divisors (33921020).

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

27825028 is a wasteful number, since it uses less digits than its factorization.

27825028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 27825028 is about 5274.9434120187. The cubic root of 27825028 is about 303.0250535693.

The spelling of 27825028 in words is "twenty-seven million, eight hundred twenty-five thousand, twenty-eight".