7333333728 has 144 divisors (see below), whose sum is σ = 22773260160. Its totient is φ = 2059647744.

The previous prime is 7333333699. The next prime is 7333333729. The reversal of 7333333728 is 8273333337.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7333333728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7333333729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264325 + ... + 290747.

It is an arithmetic number, because the mean of its divisors is an integer number (158147640).

Almost surely, 2^7333333728 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 7333333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386630080).

7333333728 is an abundant number, since it is smaller than the sum of its proper divisors (15439926432).

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

7333333728 is a wasteful number, since it uses less digits than its factorization.

7333333728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26509 (or 26494 counting only the distinct ones).

The product of its digits is 571536, while the sum is 42.

The square root of 7333333728 is about 85634.8861621244. The cubic root of 7333333728 is about 1942.8255959369.

The spelling of 7333333728 in words is "seven billion, three hundred thirty-three million, three hundred thirty-three thousand, seven hundred twenty-eight".