514103328 has 192 divisors, whose sum is σ = 1554577920. Its totient is φ = 165217536.

The previous prime is 514103327. The next prime is 514103333. The reversal of 514103328 is 823301415.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (514103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4804651 + ... + 4804757.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2^514103328 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 514103328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777288960).

514103328 is an abundant number, since it is smaller than the sum of its proper divisors (1040474592).

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

514103328 is a wasteful number, since it uses less digits than its factorization.

514103328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 514103328 is about 22673.8467843461. The cubic root of 514103328 is about 801.0939866429.

The spelling of 514103328 in words is "five hundred fourteen million, one hundred three thousand, three hundred twenty-eight".