4228824132 has 144 divisors (see below), whose sum is σ = 12163556160. Its totient is φ = 1269216000.

The previous prime is 4228824097. The next prime is 4228824133. The reversal of 4228824132 is 2314288224.

4228824132 is a `hidden beast` number, since 422 + 88 + 24 + 132 = 666.

4228824132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4228824133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745507 + ... + 751157.

It is an arithmetic number, because the mean of its divisors is an integer number (84469140).

Almost surely, 2^4228824132 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 4228824132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081778080).

4228824132 is an abundant number, since it is smaller than the sum of its proper divisors (7934732028).

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

4228824132 is a wasteful number, since it uses less digits than its factorization.

4228824132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5710 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4228824132 is about 65029.4097466677. The cubic root of 4228824132 is about 1617.1111616022. Note that the first 4 decimals are identical.

The spelling of 4228824132 in words is "four billion, two hundred twenty-eight million, eight hundred twenty-four thousand, one hundred thirty-two".