516107628 has 36 divisors (see below), whose sum is σ = 1307040280. Its totient is φ = 171714816.

The previous prime is 516107617. The next prime is 516107639. The reversal of 516107628 is 826701615.

516107628 is a `hidden beast` number, since 5 + 16 + 10 + 7 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (516107617) and next prime (516107639).

It is a tau number, because it is divible by the number of its divisors (36).

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 = 516107592 and 516107601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6588 + ... + 32796.

Almost surely, 2^516107628 is an apocalyptic number.

It is an amenable number.

516107628 is an abundant number, since it is smaller than the sum of its proper divisors (790932652).

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

516107628 is a wasteful number, since it uses less digits than its factorization.

516107628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26766 (or 26761 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 516107628 is about 22718.0022889338. The cubic root of 516107628 is about 802.1336937129.

The spelling of 516107628 in words is "five hundred sixteen million, one hundred seven thousand, six hundred twenty-eight".