14645928 has 64 divisors (see below), whose sum is σ = 41342400. Its totient is φ = 4282880.

The previous prime is 14645921. The next prime is 14646011. The reversal of 14645928 is 82954641.

It is a Cunningham number, because it is equal to 3827²-1.

It is not an unprimeable number, because it can be changed into a prime (14645921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6700 + ... + 8612.

It is an arithmetic number, because the mean of its divisors is an integer number (645975).

Almost surely, 2^14645928 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 14645928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20671200).

14645928 is an abundant number, since it is smaller than the sum of its proper divisors (26696472).

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

14645928 is a wasteful number, since it uses less digits than its factorization.

14645928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1958 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 14645928 is about 3826.9998693494. Note that the first 3 decimals coincide. The cubic root of 14645928 is about 244.6652543515.

The spelling of 14645928 in words is "fourteen million, six hundred forty-five thousand, nine hundred twenty-eight".