27629238 has 48 divisors (see below), whose sum is σ = 69234480. Its totient is φ = 7285824.

The previous prime is 27629227. The next prime is 27629293. The reversal of 27629238 is 83292672.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 27629196 and 27629205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208 + ... + 7436.

It is an arithmetic number, because the mean of its divisors is an integer number (1442385).

Almost surely, 2^27629238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27629238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617240).

27629238 is an abundant number, since it is smaller than the sum of its proper divisors (41605242).

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

27629238 is a wasteful number, since it uses less digits than its factorization.

27629238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7254 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 27629238 is about 5256.3521571523. The cubic root of 27629238 is about 302.3126376581.

The spelling of 27629238 in words is "twenty-seven million, six hundred twenty-nine thousand, two hundred thirty-eight".