4233888 has 72 divisors (see below), whose sum is σ = 12288276. Its totient is φ = 1382400.

The previous prime is 4233877. The next prime is 4233907. The reversal of 4233888 is 8883324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 121104 = 2028^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a d-powerful number, because it can be written as 4 + 2²¹ + 3⁵ + 3⁸ + 8 + 8⁵ + 8⁷ .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17448 + ... + 17688.

Almost surely, 2^4233888 is an apocalyptic number.

4233888 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 4233888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144138).

4233888 is an abundant number, since it is smaller than the sum of its proper divisors (8054388).

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

4233888 is a wasteful number, since it uses less digits than its factorization.

4233888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4233888 is about 2057.6413681689. The cubic root of 4233888 is about 161.7756382020.

It can be divided in two parts, 42 and 33888, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 4233888 in words is "four million, two hundred thirty-three thousand, eight hundred eighty-eight".