516236928 has 64 divisors (see below), whose sum is σ = 1376853120. Its totient is φ = 171376640.

The previous prime is 516236923. The next prime is 516236951. The reversal of 516236928 is 829632615.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 516236928.

It is not an unprimeable number, because it can be changed into a prime (516236923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96073 + ... + 101303.

It is an arithmetic number, because the mean of its divisors is an integer number (21513330).

Almost surely, 2^516236928 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 516236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688426560).

516236928 is an abundant number, since it is smaller than the sum of its proper divisors (860616192).

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

516236928 is a wasteful number, since it uses less digits than its factorization.

516236928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505 (or 5493 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 516236928 is about 22720.8478715034. The cubic root of 516236928 is about 802.2006740744.

The spelling of 516236928 in words is "five hundred sixteen million, two hundred thirty-six thousand, nine hundred twenty-eight".