5778432 has 176 divisors, whose sum is σ = 19651200. Its totient is φ = 1658880.

The previous prime is 5778427. The next prime is 5778433. The reversal of 5778432 is 2348775.

5778432 is a `hidden beast` number, since 577 + 84 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a d-powerful number, because it can be written as 5⁵ + 7⁴ + 7⁸ + 8 + 4⁵ + 3⁸ + 2⁹ .

Its product of digits (47040) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (5778433) 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, 304119 + ... + 304137.

Almost surely, 2^5778432 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 5778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825600).

5778432 is an abundant number, since it is smaller than the sum of its proper divisors (13872768).

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

5778432 is a wasteful number, since it uses less digits than its factorization.

5778432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 5778432 is about 2403.8369329054. The cubic root of 5778432 is about 179.4471928729.

It can be divided in two parts, 577 and 8432, that added together give a palindrome (9009).

The spelling of 5778432 in words is "five million, seven hundred seventy-eight thousand, four hundred thirty-two".