7309228032 has 144 divisors (see below), whose sum is σ = 21206268720. Its totient is φ = 2425356288.

The previous prime is 7309228007. The next prime is 7309228033. The reversal of 7309228032 is 2308229037.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7309228033) 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, 4736253 + ... + 4737795.

It is an arithmetic number, because the mean of its divisors is an integer number (147265755).

Almost surely, 2^7309228032 is an apocalyptic number.

7309228032 is a gapful number since it is divisible by the number (72) 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 7309228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10603134360).

7309228032 is an abundant number, since it is smaller than the sum of its proper divisors (13897040688).

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

7309228032 is a wasteful number, since it uses less digits than its factorization.

7309228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7309228032 is about 85494.0233700579. The cubic root of 7309228032 is about 1940.6944791044.

It can be divided in two parts, 73092 and 28032, that added together give a square (101124 = 318²).

The spelling of 7309228032 in words is "seven billion, three hundred nine million, two hundred twenty-eight thousand, thirty-two".