404233728 has 80 divisors (see below), whose sum is σ = 1089372240. Its totient is φ = 133185536.

The previous prime is 404233727. The next prime is 404233741. The reversal of 404233728 is 827332404.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404233723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135226 + ... + 138182.

It is an arithmetic number, because the mean of its divisors is an integer number (13617153).

Almost surely, 2^404233728 is an apocalyptic number.

404233728 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 404233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544686120).

404233728 is an abundant number, since it is smaller than the sum of its proper divisors (685138512).

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

404233728 is an equidigital number, since it uses as much as digits as its factorization.

404233728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 404233728 is about 20105.5646028655. The cubic root of 404233728 is about 739.3967130748.

The spelling of 404233728 in words is "four hundred four million, two hundred thirty-three thousand, seven hundred twenty-eight".