27832420 has 144 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 8236800.

The previous prime is 27832393. The next prime is 27832421. The reversal of 27832420 is 2423872.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (27832421) 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, 525114 + ... + 525166.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 2^27832420 is an apocalyptic number.

27832420 is a gapful number since it is divisible by the number (20) 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 27832420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

27832420 is an abundant number, since it is smaller than the sum of its proper divisors (49388444).

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

27832420 is a wasteful number, since it uses less digits than its factorization.

27832420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 27832420 is about 5275.6440365135. The cubic root of 27832420 is about 303.0518850831.

The spelling of 27832420 in words is "twenty-seven million, eight hundred thirty-two thousand, four hundred twenty".