27929680 has 20 divisors (see below), whose sum is σ = 64936692. Its totient is φ = 11171840.

The previous prime is 27929669. The next prime is 27929689. The reversal of 27929680 is 8692972.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16451136 + 11478544 = 4056^2 + 3388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27929689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174481 + ... + 174640.

Almost surely, 2^27929680 is an apocalyptic number.

27929680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27929680 is an abundant number, since it is smaller than the sum of its proper divisors (37007012).

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

27929680 is a wasteful number, since it uses less digits than its factorization.

27929680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349134 (or 349128 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 27929680 is about 5284.8538295775. The cubic root of 27929680 is about 303.4044782067.

The spelling of 27929680 in words is "twenty-seven million, nine hundred twenty-nine thousand, six hundred eighty".