28014000 has 320 divisors, whose sum is σ = 111421440. Its totient is φ = 5913600.

The previous prime is 28013989. The next prime is 28014001. The reversal of 28014000 is 41082.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (28014001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965986 + ... + 966014.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^28014000 is an apocalyptic number.

28014000 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 28014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

28014000 is an abundant number, since it is smaller than the sum of its proper divisors (83407440).

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

28014000 is a wasteful number, since it uses less digits than its factorization.

28014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 28014000 is about 5292.8253324666. The cubic root of 28014000 is about 303.7094985711.

Adding to 28014000 its reverse (41082), we get a palindrome (28055082).

The spelling of 28014000 in words is "twenty-eight million, fourteen thousand".