14076281628 has 96 divisors (see below), whose sum is σ = 37712075520. Its totient is φ = 4537062720.

The previous prime is 14076281627. The next prime is 14076281629. The reversal of 14076281628 is 82618267041.

14076281628 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 628 + 16 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14076281627) and next prime (14076281629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076281621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640543 + ... + 662153.

It is an arithmetic number, because the mean of its divisors is an integer number (392834120).

Almost surely, 2^14076281628 is an apocalyptic number.

14076281628 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 14076281628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856037760).

14076281628 is an abundant number, since it is smaller than the sum of its proper divisors (23635793892).

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

14076281628 is a wasteful number, since it uses less digits than its factorization.

14076281628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14076281628 in words is "fourteen billion, seventy-six million, two hundred eighty-one thousand, six hundred twenty-eight".