27728904 has 192 divisors, whose sum is σ = 91108800. Its totient is φ = 6967296.

The previous prime is 27728903. The next prime is 27728917. The reversal of 27728904 is 40982772.

It is not an unprimeable number, because it can be changed into a prime (27728903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379812 + ... + 379884.

It is an arithmetic number, because the mean of its divisors is an integer number (474525).

Almost surely, 2^27728904 is an apocalyptic number.

27728904 is a gapful number since it is divisible by the number (24) 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 27728904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45554400).

27728904 is an abundant number, since it is smaller than the sum of its proper divisors (63379896).

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

27728904 is a wasteful number, since it uses less digits than its factorization.

27728904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 27728904 is about 5265.8241520203. The cubic root of 27728904 is about 302.6757087697.

The spelling of 27728904 in words is "twenty-seven million, seven hundred twenty-eight thousand, nine hundred four".