514430028000 has 1152 divisors, whose sum is σ = 2209397299200. Its totient is φ = 117507801600.

The previous prime is 514430027999. The next prime is 514430028001. The reversal of 514430028000 is 820034415.

514430028000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (514430027999) and next prime (514430028001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514430028001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333395229 + ... + 333396771.

It is an arithmetic number, because the mean of its divisors is an integer number (1917879600).

Almost surely, 2^514430028000 is an apocalyptic number.

514430028000 is a gapful number since it is divisible by the number (50) 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 514430028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104698649600).

514430028000 is an abundant number, since it is smaller than the sum of its proper divisors (1694967271200).

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

514430028000 is an equidigital number, since it uses as much as digits as its factorization.

514430028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 514430028000 in words is "five hundred fourteen billion, four hundred thirty million, twenty-eight thousand".