14428560 has 80 divisors (see below), whose sum is σ = 45354240. Its totient is φ = 3793920.

The previous prime is 14428559. The next prime is 14428643. The reversal of 14428560 is 6582441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18580 + ... + 19340.

It is an arithmetic number, because the mean of its divisors is an integer number (566928).

Almost surely, 2^14428560 is an apocalyptic number.

14428560 is a gapful number since it is divisible by the number (10) 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 14428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22677120).

14428560 is an abundant number, since it is smaller than the sum of its proper divisors (30925680).

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

14428560 is a wasteful number, since it uses less digits than its factorization.

14428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 14428560 is about 3798.4944385901. The cubic root of 14428560 is about 243.4488140593.

The spelling of 14428560 in words is "fourteen million, four hundred twenty-eight thousand, five hundred sixty".