514708128 has 192 divisors, whose sum is σ = 1691504640. Its totient is φ = 150854400.

The previous prime is 514708123. The next prime is 514708163. The reversal of 514708128 is 821807415.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 514708092 and 514708101.

It is not an unprimeable number, because it can be changed into a prime (514708123) 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, 293751 + ... + 295497.

It is an arithmetic number, because the mean of its divisors is an integer number (8809920).

Almost surely, 2^514708128 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 514708128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845752320).

514708128 is an abundant number, since it is smaller than the sum of its proper divisors (1176796512).

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

514708128 is a wasteful number, since it uses less digits than its factorization.

514708128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 514708128 is about 22687.1798159225. The cubic root of 514708128 is about 801.4080037862.

The spelling of 514708128 in words is "five hundred fourteen million, seven hundred eight thousand, one hundred twenty-eight".