5610605728 has 192 divisors, whose sum is σ = 13962412800. Its totient is φ = 2160525312.

The previous prime is 5610605699. The next prime is 5610605743. The reversal of 5610605728 is 8275060165.

It is a super-3 number, since 3×5610605728³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29070400 + ... + 29070592.

It is an arithmetic number, because the mean of its divisors is an integer number (72720900).

Almost surely, 2^5610605728 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 5610605728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981206400).

5610605728 is an abundant number, since it is smaller than the sum of its proper divisors (8351807072).

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

5610605728 is a wasteful number, since it uses less digits than its factorization.

5610605728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 5610605728 is about 74903.9767168606. The cubic root of 5610605728 is about 1776.9283522677.

The spelling of 5610605728 in words is "five billion, six hundred ten million, six hundred five thousand, seven hundred twenty-eight".