27801048 has 128 divisors (see below), whose sum is σ = 81100800. Its totient is φ = 7862400.

The previous prime is 27801041. The next prime is 27801049. The reversal of 27801048 is 84010872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27801041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351873 + ... + 351951.

It is an arithmetic number, because the mean of its divisors is an integer number (633600).

Almost surely, 2^27801048 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 27801048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40550400).

27801048 is an abundant number, since it is smaller than the sum of its proper divisors (53299752).

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

27801048 is a wasteful number, since it uses less digits than its factorization.

27801048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 27801048 is about 5272.6699119137. The cubic root of 27801048 is about 302.9379781342.

It can be divided in two parts, 2780 and 1048, that added together give a triangular number (3828 = T₈₇).

The spelling of 27801048 in words is "twenty-seven million, eight hundred one thousand, forty-eight".