436128 has 96 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 111360.

The previous prime is 436127. The next prime is 436147. The reversal of 436128 is 821634.

It is a happy number.

436128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 436098 and 436107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 436128.

It is not an unprimeable number, because it can be changed into a prime (436127) 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, 7363 + ... + 7421.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2⁴³⁶¹²⁸ is an apocalyptic number.

436128 is a gapful number since it is divisible by the number (48) 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 436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

436128 is an abundant number, since it is smaller than the sum of its proper divisors (1015392).

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

436128 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 436128 = (123684)₁₃.

436128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 436128 is about 660.3998788613. The cubic root of 436128 is about 75.8352850066.

The spelling of 436128 in words is "four hundred thirty-six thousand, one hundred twenty-eight".