7933283328 has 66 divisors (see below), whose sum is σ = 21158258716. Its totient is φ = 2642782208.

The previous prime is 7933283321. The next prime is 7933283339. The reversal of 7933283328 is 8233823397.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7933283321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4935901 + ... + 4937507.

Almost surely, 2^7933283328 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 7933283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579129358).

7933283328 is an abundant number, since it is smaller than the sum of its proper divisors (13224975388).

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

7933283328 is an frugal number, since it uses more digits than its factorization.

7933283328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 1612 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 7933283328 is about 89068.9807284219. The cubic root of 7933283328 is about 1994.4247500689.

Multiplying 7933283328 by its sum of digits (48), we get a square (380797599744 = 617088²).

7933283328 divided by its sum of digits (48) gives a square (165276736 = 12856²).

The spelling of 7933283328 in words is "seven billion, nine hundred thirty-three million, two hundred eighty-three thousand, three hundred twenty-eight".