14528420 has 48 divisors (see below), whose sum is σ = 32462640. Its totient is φ = 5451264.

The previous prime is 14528411. The next prime is 14528441. The reversal of 14528420 is 2482541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3625216 + 10903204 = 1904^2 + 3302^2 .

It is a super-2 number, since 2×14528420² = 422149975392800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14528420.

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, 21122 + ... + 21798.

It is an arithmetic number, because the mean of its divisors is an integer number (676305).

Almost surely, 2^14528420 is an apocalyptic number.

14528420 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 14528420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231320).

14528420 is an abundant number, since it is smaller than the sum of its proper divisors (17934220).

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

14528420 is a wasteful number, since it uses less digits than its factorization.

14528420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 14528420 is about 3811.6164549965. The cubic root of 14528420 is about 244.0091593803.

It can be divided in two parts, 145 and 28420, that multiplied together give a square (4120900 = 2030²).

The spelling of 14528420 in words is "fourteen million, five hundred twenty-eight thousand, four hundred twenty".