27961472 has 64 divisors (see below), whose sum is σ = 69474240. Its totient is φ = 10890240.

The previous prime is 27961441. The next prime is 27961477. The reversal of 27961472 is 27416972.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27961477) 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, 8438 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (1085535).

Almost surely, 2^27961472 is an apocalyptic number.

27961472 is a gapful number since it is divisible by the number (22) 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 27961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34737120).

27961472 is an abundant number, since it is smaller than the sum of its proper divisors (41512768).

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

27961472 is a wasteful number, since it uses less digits than its factorization.

27961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2857 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 27961472 is about 5287.8608151123. The cubic root of 27961472 is about 303.5195550422.

The spelling of 27961472 in words is "twenty-seven million, nine hundred sixty-one thousand, four hundred seventy-two".