610876728 has 432 divisors, whose sum is σ = 2235182040. Its totient is φ = 155675520.

The previous prime is 610876727. The next prime is 610876751. The reversal of 610876728 is 827678016.

610876728 is a `hidden beast` number, since 610 + 8 + 7 + 6 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610876723) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11525950 + ... + 11526002.

Almost surely, 2^610876728 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 610876728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117591020).

610876728 is an abundant number, since it is smaller than the sum of its proper divisors (1624305312).

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

610876728 is a wasteful number, since it uses less digits than its factorization.

610876728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 610876728 is about 24715.9205371760. The cubic root of 610876728 is about 848.4987239297.

The spelling of 610876728 in words is "six hundred ten million, eight hundred seventy-six thousand, seven hundred twenty-eight".