933814728 has 192 divisors, whose sum is σ = 3168547200. Its totient is φ = 241367040.

The previous prime is 933814727. The next prime is 933814741. The reversal of 933814728 is 827418339.

933814728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (933814723) 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, 2156400 + ... + 2156832.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850).

Almost surely, 2^933814728 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 933814728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584273600).

933814728 is an abundant number, since it is smaller than the sum of its proper divisors (2234732472).

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

933814728 is a wasteful number, since it uses less digits than its factorization.

933814728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 933814728 is about 30558.3822870256. The cubic root of 933814728 is about 977.4327949209.

The spelling of 933814728 in words is "nine hundred thirty-three million, eight hundred fourteen thousand, seven hundred twenty-eight".