14828416 has 64 divisors (see below), whose sum is σ = 31628160. Its totient is φ = 6912000.

The previous prime is 14828413. The next prime is 14828419. The reversal of 14828416 is 61482841.

It is an interprime number because it is at equal distance from previous prime (14828413) and next prime (14828419).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14828413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146766 + ... + 146866.

It is an arithmetic number, because the mean of its divisors is an integer number (494190).

Almost surely, 2^14828416 is an apocalyptic number.

14828416 is a gapful number since it is divisible by the number (16) 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 14828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814080).

14828416 is an abundant number, since it is smaller than the sum of its proper divisors (16799744).

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

14828416 is a wasteful number, since it uses less digits than its factorization.

14828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 14828416 is about 3850.7682350409. The cubic root of 14828416 is about 245.6772377118.

The spelling of 14828416 in words is "fourteen million, eight hundred twenty-eight thousand, four hundred sixteen".