27764028 has 72 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 8876160.

The previous prime is 27764027. The next prime is 27764029. The reversal of 27764028 is 82046772.

27764028 is a `hidden beast` number, since 2 + 7 + 7 + 640 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (27764027) and next prime (27764029).

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 = 27763983 and 27764001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27764027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103078 + ... + 103346.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^27764028 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 27764028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

27764028 is an abundant number, since it is smaller than the sum of its proper divisors (45356292).

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

27764028 is a wasteful number, since it uses less digits than its factorization.

27764028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 27764028 is about 5269.1581870352. The cubic root of 27764028 is about 302.8034538828.

The spelling of 27764028 in words is "twenty-seven million, seven hundred sixty-four thousand, twenty-eight".