27628820 has 12 divisors (see below), whose sum is σ = 58020564. Its totient is φ = 11051520.

The previous prime is 27628813. The next prime is 27628873. The reversal of 27628820 is 2882672.

It can be written as a sum of positive squares in 2 ways, for example, as 5180176 + 22448644 = 2276^2 + 4738^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 690701 + ... + 690740.

It is an arithmetic number, because the mean of its divisors is an integer number (4835047).

Almost surely, 2^27628820 is an apocalyptic number.

27628820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27628820 is an abundant number, since it is smaller than the sum of its proper divisors (30391744).

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

27628820 is a wasteful number, since it uses less digits than its factorization.

27628820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381450 (or 1381448 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 27628820 is about 5256.3123955869. The cubic root of 27628820 is about 302.3111130978.

The spelling of 27628820 in words is "twenty-seven million, six hundred twenty-eight thousand, eight hundred twenty".