610316928 has 192 divisors, whose sum is σ = 1918032480. Its totient is φ = 185149440.

The previous prime is 610316911. The next prime is 610316929. The reversal of 610316928 is 829613016.

610316928 is a `hidden beast` number, since 610 + 3 + 16 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 610316892 and 610316901.

It is not an unprimeable number, because it can be changed into a prime (610316929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242763 + ... + 1243253.

Almost surely, 2^610316928 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 610316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959016240).

610316928 is an abundant number, since it is smaller than the sum of its proper divisors (1307715552).

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

610316928 is a wasteful number, since it uses less digits than its factorization.

610316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 610316928 is about 24704.5932571253. The cubic root of 610316928 is about 848.2394600829.

The spelling of 610316928 in words is "six hundred ten million, three hundred sixteen thousand, nine hundred twenty-eight".