27829242 has 48 divisors (see below), whose sum is σ = 70604352. Its totient is φ = 7755840.

The previous prime is 27829211. The next prime is 27829267. The reversal of 27829242 is 24292872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27829197 and 27829206.

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, 2473 + ... + 7859.

It is an arithmetic number, because the mean of its divisors is an integer number (1470924).

Almost surely, 2^27829242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27829242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35302176).

27829242 is an abundant number, since it is smaller than the sum of its proper divisors (42775110).

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

27829242 is a wasteful number, since it uses less digits than its factorization.

27829242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5440 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27829242 is about 5275.3428324612. The cubic root of 27829242 is about 303.0403501471.

The spelling of 27829242 in words is "twenty-seven million, eight hundred twenty-nine thousand, two hundred forty-two".