14456627928 has 192 divisors, whose sum is σ = 41542300800. Its totient is φ = 4708523520.

The previous prime is 14456627917. The next prime is 14456627971. The reversal of 14456627928 is 82972665441.

14456627928 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 6 + 627 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27641475 + ... + 27641997.

It is an arithmetic number, because the mean of its divisors is an integer number (216366150).

Almost surely, 2^14456627928 is an apocalyptic number.

14456627928 is a gapful number since it is divisible by the number (18) 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 14456627928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20771150400).

14456627928 is an abundant number, since it is smaller than the sum of its proper divisors (27085672872).

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

14456627928 is a wasteful number, since it uses less digits than its factorization.

14456627928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 828 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 14456627928 in words is "fourteen billion, four hundred fifty-six million, six hundred twenty-seven thousand, nine hundred twenty-eight".