514043328 has 224 divisors, whose sum is σ = 1528876800. Its totient is φ = 151732224.

The previous prime is 514043323. The next prime is 514043339. The reversal of 514043328 is 823340415.

It is a super-2 number, since 2×514043328² = 528481086122631168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514043295 and 514043304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514043323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4549000 + ... + 4549112.

Almost surely, 2^514043328 is an apocalyptic number.

514043328 is a gapful number since it is divisible by the number (58) 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 514043328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764438400).

514043328 is an abundant number, since it is smaller than the sum of its proper divisors (1014833472).

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

514043328 is a wasteful number, since it uses less digits than its factorization.

514043328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 514043328 is about 22672.5236354491. The cubic root of 514043328 is about 801.0628207232.

The spelling of 514043328 in words is "five hundred fourteen million, forty-three thousand, three hundred twenty-eight".