27631728 has 60 divisors (see below), whose sum is σ = 77704848. Its totient is φ = 9166080.

The previous prime is 27631727. The next prime is 27631729. The reversal of 27631728 is 82713672.

It is an interprime number because it is at equal distance from previous prime (27631727) and next prime (27631729).

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 = 27631692 and 27631701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27631727) 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, 44476 + ... + 45092.

Almost surely, 2^27631728 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 27631728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38852424).

27631728 is an abundant number, since it is smaller than the sum of its proper divisors (50073120).

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

27631728 is a wasteful number, since it uses less digits than its factorization.

27631728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27631728 is about 5256.5890080926. The cubic root of 27631728 is about 302.3217190505.

The spelling of 27631728 in words is "twenty-seven million, six hundred thirty-one thousand, seven hundred twenty-eight".