2233728 has 96 divisors (see below), whose sum is σ = 7372560. Its totient is φ = 635904.

The previous prime is 2233723. The next prime is 2233739. The reversal of 2233728 is 8273322.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7926 + ... + 8202.

2^2233728 is an apocalyptic number.

2233728 is a gapful number since it is divisible by the number (28) 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 2233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686280).

2233728 is an abundant number, since it is smaller than the sum of its proper divisors (5138832).

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

2233728 is a wasteful number, since it uses less digits than its factorization.

2233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2233728 is about 1494.5661577863. The cubic root of 2233728 is about 130.7204184425.

The spelling of 2233728 in words is "two million, two hundred thirty-three thousand, seven hundred twenty-eight".