27826920 has 96 divisors (see below), whose sum is σ = 98673120. Its totient is φ = 6744960.

The previous prime is 27826913. The next prime is 27826927. The reversal of 27826920 is 2962872.

It is an interprime number because it is at equal distance from previous prime (27826913) and next prime (27826927).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27826927) 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, 447 + ... + 7473.

It is an arithmetic number, because the mean of its divisors is an integer number (1027845).

Almost surely, 2^27826920 is an apocalyptic number.

27826920 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 27826920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49336560).

27826920 is an abundant number, since it is smaller than the sum of its proper divisors (70846200).

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

27826920 is a wasteful number, since it uses less digits than its factorization.

27826920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27826920 is about 5275.1227473870. The cubic root of 27826920 is about 303.0319216116.

The spelling of 27826920 in words is "twenty-seven million, eight hundred twenty-six thousand, nine hundred twenty".