5803072128 has 192 divisors, whose sum is σ = 20207603520. Its totient is φ = 1560453120.

The previous prime is 5803072127. The next prime is 5803072141. The reversal of 5803072128 is 8212703085.

5803072128 is a `hidden beast` number, since 580 + 3 + 0 + 72 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5803072128² = 67351292245540896768, which contains 22 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 = 5803072092 and 5803072101.

It is not an unprimeable number, because it can be changed into a prime (5803072127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115923 + ... + 158253.

It is an arithmetic number, because the mean of its divisors is an integer number (105247935).

Almost surely, 2^5803072128 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 5803072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103801760).

5803072128 is an abundant number, since it is smaller than the sum of its proper divisors (14404531392).

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

5803072128 is a wasteful number, since it uses less digits than its factorization.

5803072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42375 (or 42360 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5803072128 is about 76177.8978969622. The cubic root of 5803072128 is about 1797.0189471647.

The spelling of 5803072128 in words is "five billion, eight hundred three million, seventy-two thousand, one hundred twenty-eight".