616418028 has 72 divisors (see below), whose sum is σ = 1653226848. Its totient is φ = 192987648.

The previous prime is 616418027. The next prime is 616418053. The reversal of 616418028 is 820814616.

616418028 is a `hidden beast` number, since 6 + 1 + 641 + 8 + 0 + 2 + 8 = 666.

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 = 616417983 and 616418001.

It is not an unprimeable number, because it can be changed into a prime (616418021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472425 + ... + 473727.

It is an arithmetic number, because the mean of its divisors is an integer number (22961484).

Almost surely, 2^616418028 is an apocalyptic number.

616418028 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616418028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826613424).

616418028 is an abundant number, since it is smaller than the sum of its proper divisors (1036808820).

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

616418028 is a wasteful number, since it uses less digits than its factorization.

616418028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 616418028 is about 24827.7672777880. The cubic root of 616418028 is about 851.0565997659.

The spelling of 616418028 in words is "six hundred sixteen million, four hundred eighteen thousand, twenty-eight".