27328752 has 160 divisors (see below), whose sum is σ = 87851520. Its totient is φ = 8164800.

The previous prime is 27328751. The next prime is 27328753. The reversal of 27328752 is 25782372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27328751) and next prime (27328753).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27328751) 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, 384877 + ... + 384947.

It is an arithmetic number, because the mean of its divisors is an integer number (549072).

Almost surely, 2^27328752 is an apocalyptic number.

27328752 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 27328752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43925760).

27328752 is an abundant number, since it is smaller than the sum of its proper divisors (60522768).

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

27328752 is an equidigital number, since it uses as much as digits as its factorization.

27328752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 27328752 is about 5227.6908860414. The cubic root of 27328752 is about 301.2126913273.

The spelling of 27328752 in words is "twenty-seven million, three hundred twenty-eight thousand, seven hundred fifty-two".