14932988928 has 440 divisors, whose sum is σ = 52430384160. Its totient is φ = 4173742080.

The previous prime is 14932988923. The next prime is 14932988929. The reversal of 14932988928 is 82988923941.

It is a happy number.

14932988928 is a `hidden beast` number, since 149 + 329 + 88 + 92 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14932988923) 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 39 ways as a sum of consecutive naturals, for example, 11860363 + ... + 11861621.

It is an arithmetic number, because the mean of its divisors is an integer number (119159964).

Almost surely, 2^14932988928 is an apocalyptic number.

14932988928 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 14932988928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26215192080).

14932988928 is an abundant number, since it is smaller than the sum of its proper divisors (37497395232).

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

14932988928 is a wasteful number, since it uses less digits than its factorization.

14932988928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1288 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 14932988928 in words is "fourteen billion, nine hundred thirty-two million, nine hundred eighty-eight thousand, nine hundred twenty-eight".