5824128 has 64 divisors (see below), whose sum is σ = 16034400. Its totient is φ = 1870848.

The previous prime is 5824111. The next prime is 5824141. The reversal of 5824128 is 8214285.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 5824095 and 5824104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10875 + ... + 11397.

Almost surely, 2^5824128 is an apocalyptic number.

5824128 is a gapful number since it is divisible by the number (58) 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 5824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017200).

5824128 is an abundant number, since it is smaller than the sum of its proper divisors (10210272).

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

5824128 is a wasteful number, since it uses less digits than its factorization.

5824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 5824128 is about 2413.3230202358. The cubic root of 5824128 is about 179.9189758794.

The spelling of 5824128 in words is "five million, eight hundred twenty-four thousand, one hundred twenty-eight".