610918728 has 64 divisors (see below), whose sum is σ = 1751829120. Its totient is φ = 173913600.

The previous prime is 610918699. The next prime is 610918733. The reversal of 610918728 is 827819016.

It is a super-2 number, since 2×610918728² = 746443384442275968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 610918728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40738 + ... + 53678.

It is an arithmetic number, because the mean of its divisors is an integer number (27372330).

Almost surely, 2^610918728 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 610918728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875914560).

610918728 is an abundant number, since it is smaller than the sum of its proper divisors (1140910392).

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

610918728 is a wasteful number, since it uses less digits than its factorization.

610918728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13238 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 610918728 is about 24716.7701773512. The cubic root of 610918728 is about 848.5181692766.

The spelling of 610918728 in words is "six hundred ten million, nine hundred eighteen thousand, seven hundred twenty-eight".