14800128 has 72 divisors (see below), whose sum is σ = 45033408. Its totient is φ = 4227072.

The previous prime is 14800103. The next prime is 14800141. The reversal of 14800128 is 82100841.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14800098 and 14800107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4000 + ... + 6752.

It is an arithmetic number, because the mean of its divisors is an integer number (625464).

Almost surely, 2^14800128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22516704).

14800128 is an abundant number, since it is smaller than the sum of its proper divisors (30233280).

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

14800128 is an equidigital number, since it uses as much as digits as its factorization.

14800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 14800128 is about 3847.0934483061. The cubic root of 14800128 is about 245.5209130424.

Adding to 14800128 its reverse (82100841), we get a palindrome (96900969).

The spelling of 14800128 in words is "fourteen million, eight hundred thousand, one hundred twenty-eight".