27922440 has 128 divisors (see below), whose sum is σ = 103138560. Its totient is φ = 5889024.

The previous prime is 27922429. The next prime is 27922441. The reversal of 27922440 is 4422972.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27922398 and 27922407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27922441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9642 + ... + 12198.

It is an arithmetic number, because the mean of its divisors is an integer number (805770).

Almost surely, 2^27922440 is an apocalyptic number.

27922440 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 27922440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51569280).

27922440 is an abundant number, since it is smaller than the sum of its proper divisors (75216120).

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

27922440 is a wasteful number, since it uses less digits than its factorization.

27922440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 27922440 is about 5284.1688088100. The cubic root of 27922440 is about 303.3782595240.

The spelling of 27922440 in words is "twenty-seven million, nine hundred twenty-two thousand, four hundred forty".