27940032 has 224 divisors, whose sum is σ = 92659200. Its totient is φ = 8211456.

The previous prime is 27939997. The next prime is 27940039. The reversal of 27940032 is 23004972.

It is a super-2 number, since 2×27940032² = 1561290776322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27939978 and 27940005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27940039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755118 + ... + 755154.

Almost surely, 2^27940032 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 27940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329600).

27940032 is an abundant number, since it is smaller than the sum of its proper divisors (64719168).

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

27940032 is a wasteful number, since it uses less digits than its factorization.

27940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27940032 is about 5285.8331415208. The cubic root of 27940032 is about 303.4419587077.

The spelling of 27940032 in words is "twenty-seven million, nine hundred forty thousand, thirty-two".