14768928 has 72 divisors (see below), whose sum is σ = 44226000. Its totient is φ = 4662144.

The previous prime is 14768899. The next prime is 14768933. The reversal of 14768928 is 82986741.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×14768928³ (a number of 22 digits) contains 333 as substring.

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, 4123 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^14768928 is an apocalyptic number.

14768928 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 14768928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113000).

14768928 is an abundant number, since it is smaller than the sum of its proper divisors (29457072).

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

14768928 is a wasteful number, since it uses less digits than its factorization.

14768928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2723 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14768928 is about 3843.0362995944. The cubic root of 14768928 is about 245.3482649492.

It can be divided in two parts, 1476 and 8928, that added together give a square (10404 = 102²).

The spelling of 14768928 in words is "fourteen million, seven hundred sixty-eight thousand, nine hundred twenty-eight".