617441328 has 240 divisors, whose sum is σ = 2105658880. Its totient is φ = 164975616.

The previous prime is 617441323. The next prime is 617441339. The reversal of 617441328 is 823144716.

617441328 is a `hidden beast` number, since 617 + 4 + 4 + 1 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 617441292 and 617441301.

It is not an unprimeable number, because it can be changed into a prime (617441323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1972500 + ... + 1972812.

Almost surely, 2^617441328 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 617441328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052829440).

617441328 is an abundant number, since it is smaller than the sum of its proper divisors (1488217552).

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

617441328 is a wasteful number, since it uses less digits than its factorization.

617441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 617441328 is about 24848.3667068884. The cubic root of 617441328 is about 851.5272785969.

The spelling of 617441328 in words is "six hundred seventeen million, four hundred forty-one thousand, three hundred twenty-eight".