5604143328 has 288 divisors, whose sum is σ = 20017670400. Its totient is φ = 1516693248.

The previous prime is 5604143287. The next prime is 5604143333. The reversal of 5604143328 is 8233414065.

5604143328 is a `hidden beast` number, since 5 + 604 + 1 + 43 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5604143328³ (a number of 30 digits) contains 333 as substring.

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 = 5604143292 and 5604143301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800901 + ... + 807867.

It is an arithmetic number, because the mean of its divisors is an integer number (69505800).

Almost surely, 2^5604143328 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 5604143328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008835200).

5604143328 is an abundant number, since it is smaller than the sum of its proper divisors (14413527072).

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

5604143328 is a wasteful number, since it uses less digits than its factorization.

5604143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5604143328 is about 74860.8263913778. The cubic root of 5604143328 is about 1776.2458571251.

The spelling of 5604143328 in words is "five billion, six hundred four million, one hundred forty-three thousand, three hundred twenty-eight".