516811428 has 126 divisors (see below), whose sum is σ = 1577835126. Its totient is φ = 147619584.

The previous prime is 516811423. The next prime is 516811439. The reversal of 516811428 is 824118615.

516811428 is a `hidden beast` number, since 516 + 8 + 114 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276623424 + 240188004 = 16632^2 + 15498^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×516811428² = 534188104222798368, which contains 22 as substring.

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 = 516811392 and 516811401.

It is not an unprimeable number, because it can be changed into a prime (516811423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 141076 + ... + 144692.

It is an arithmetic number, because the mean of its divisors is an integer number (12522501).

Almost surely, 2^516811428 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 516811428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788917563).

516811428 is an abundant number, since it is smaller than the sum of its proper divisors (1061023698).

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

516811428 is a wasteful number, since it uses less digits than its factorization.

516811428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3629 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 516811428 is about 22733.4869300774. The cubic root of 516811428 is about 802.4981430650.

The spelling of 516811428 in words is "five hundred sixteen million, eight hundred eleven thousand, four hundred twenty-eight".