27861400 has 72 divisors (see below), whose sum is σ = 75380220. Its totient is φ = 9549120.

The previous prime is 27861389. The next prime is 27861401. The reversal of 27861400 is 416872.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27861401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8379 + ... + 11221.

Almost surely, 2^27861400 is an apocalyptic number.

27861400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27861400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37690110).

27861400 is an abundant number, since it is smaller than the sum of its proper divisors (47518820).

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

27861400 is a wasteful number, since it uses less digits than its factorization.

27861400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 27861400 is about 5278.3899060225. The cubic root of 27861400 is about 303.1570310149.

It can be divided in two parts, 2786 and 1400, that added together give a triangular number (4186 = T₉₁).

The spelling of 27861400 in words is "twenty-seven million, eight hundred sixty-one thousand, four hundred".