27861792 has 72 divisors (see below), whose sum is σ = 85092336. Its totient is φ = 7959168.

The previous prime is 27861787. The next prime is 27861803. The reversal of 27861792 is 29716872.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1743 + ... + 7665.

It is an arithmetic number, because the mean of its divisors is an integer number (1181838).

Almost surely, 2^27861792 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 27861792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42546168).

27861792 is an abundant number, since it is smaller than the sum of its proper divisors (57230544).

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

27861792 is a wasteful number, since it uses less digits than its factorization.

27861792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5935 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 27861792 is about 5278.4270384273. The cubic root of 27861792 is about 303.1584527788.

The spelling of 27861792 in words is "twenty-seven million, eight hundred sixty-one thousand, seven hundred ninety-two".