27281628 has 54 divisors (see below), whose sum is σ = 75813192. Its totient is φ = 8265840.

The previous prime is 27281567. The next prime is 27281629. The reversal of 27281628 is 82618272.

It is a happy number.

27281628 is a `hidden beast` number, since 2 + 7 + 28 + 1 + 628 = 666.

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 = 27281592 and 27281601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27281629) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1225 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (1403948).

Almost surely, 2^27281628 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 27281628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37906596).

27281628 is an abundant number, since it is smaller than the sum of its proper divisors (48531564).

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

27281628 is a wasteful number, since it uses less digits than its factorization.

27281628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6279 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 27281628 is about 5223.1817889099. The cubic root of 27281628 is about 301.0394609104.

It can be divided in two parts, 2728 and 1628, that added together give a square (4356 = 66²).

The spelling of 27281628 in words is "twenty-seven million, two hundred eighty-one thousand, six hundred twenty-eight".