7328428272 has 240 divisors, whose sum is σ = 24457006080. Its totient is φ = 2022451200.

The previous prime is 7328428207. The next prime is 7328428297. The reversal of 7328428272 is 2728248237.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830379 + ... + 839157.

It is an arithmetic number, because the mean of its divisors is an integer number (101904192).

Almost surely, 2^7328428272 is an apocalyptic number.

7328428272 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 7328428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12228503040).

7328428272 is an abundant number, since it is smaller than the sum of its proper divisors (17128577808).

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

7328428272 is a wasteful number, since it uses less digits than its factorization.

7328428272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8843 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 7328428272 is about 85606.2396791262. The cubic root of 7328428272 is about 1942.3922972639.

It can be divided in two parts, 7328 and 428272, that added together give a square (435600 = 660²).

The spelling of 7328428272 in words is "seven billion, three hundred twenty-eight million, four hundred twenty-eight thousand, two hundred seventy-two".