14292937728 has 132 divisors (see below), whose sum is σ = 42387720280. Its totient is φ = 4757686272.

The previous prime is 14292937669. The next prime is 14292937751. The reversal of 14292937728 is 82773929241.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19878553 + ... + 19879271.

Almost surely, 2^14292937728 is an apocalyptic number.

14292937728 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 14292937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21193860140).

14292937728 is an abundant number, since it is smaller than the sum of its proper divisors (28094782552).

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

14292937728 is an frugal number, since it uses more digits than its factorization.

14292937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 724 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 14292937728 in words is "fourteen billion, two hundred ninety-two million, nine hundred thirty-seven thousand, seven hundred twenty-eight".