616508928 has 320 divisors, whose sum is σ = 2184145920. Its totient is φ = 167878656.

The previous prime is 616508899. The next prime is 616508953. The reversal of 616508928 is 829805616.

616508928 is a `hidden beast` number, since 616 + 5 + 0 + 8 + 9 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225526 + ... + 2225802.

It is an arithmetic number, because the mean of its divisors is an integer number (6825456).

Almost surely, 2^616508928 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 616508928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092072960).

616508928 is an abundant number, since it is smaller than the sum of its proper divisors (1567636992).

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

616508928 is a wasteful number, since it uses less digits than its factorization.

616508928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 616508928 is about 24829.5978219543. The cubic root of 616508928 is about 851.0984313580.

The spelling of 616508928 in words is "six hundred sixteen million, five hundred eight thousand, nine hundred twenty-eight".