27770328 has 48 divisors (see below), whose sum is σ = 75828480. Its totient is φ = 9180864.

The previous prime is 27770273. The next prime is 27770329. The reversal of 27770328 is 82307772.

It is a super-2 number, since 2×27770328² = 1542382234455168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27770292 and 27770301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27770329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7626 + ... + 10662.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^27770328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27770328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

27770328 is an abundant number, since it is smaller than the sum of its proper divisors (48058152).

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

27770328 is a wasteful number, since it uses less digits than its factorization.

27770328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 27770328 is about 5269.7559715797. The cubic root of 27770328 is about 302.8263554287.

The spelling of 27770328 in words is "twenty-seven million, seven hundred seventy thousand, three hundred twenty-eight".