5284032 has 112 divisors (see below), whose sum is σ = 15788640. Its totient is φ = 1548288.

The previous prime is 5284031. The next prime is 5284079. The reversal of 5284032 is 2304825.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5283993 and 5284011.

It is not an unprimeable number, because it can be changed into a prime (5284031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72348 + ... + 72420.

It is an arithmetic number, because the mean of its divisors is an integer number (140970).

Almost surely, 2^5284032 is an apocalyptic number.

5284032 is a gapful number since it is divisible by the number (52) 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 5284032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894320).

5284032 is an abundant number, since it is smaller than the sum of its proper divisors (10504608).

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

5284032 is a wasteful number, since it uses less digits than its factorization.

5284032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5284032 is about 2298.7022425708. The cubic root of 5284032 is about 174.1760669921.

Adding to 5284032 its reverse (2304825), we get a palindrome (7588857).

It can be divided in two parts, 528 and 4032, that added together give a triangular number (4560 = T₉₅).

The spelling of 5284032 in words is "five million, two hundred eighty-four thousand, thirty-two".