27628320 has 48 divisors (see below), whose sum is σ = 87030720. Its totient is φ = 7367424.

The previous prime is 27628309. The next prime is 27628327. The reversal of 27628320 is 2382672.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (27628327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28300 + ... + 29259.

It is an arithmetic number, because the mean of its divisors is an integer number (1813140).

Almost surely, 2^27628320 is an apocalyptic number.

27628320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27628320 is an abundant number, since it is smaller than the sum of its proper divisors (59402400).

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

27628320 is a wasteful number, since it uses less digits than its factorization.

27628320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57577 (or 57569 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 27628320 is about 5256.2648335106. The cubic root of 27628320 is about 302.3092894409.

The spelling of 27628320 in words is "twenty-seven million, six hundred twenty-eight thousand, three hundred twenty".