7328838528 has 320 divisors, whose sum is σ = 23992848000. Its totient is φ = 2202301440.

The previous prime is 7328838511. The next prime is 7328838547. The reversal of 7328838528 is 8258388237.

It is a happy number.

7328838528 is a `hidden beast` number, since 7 + 3 + 2 + 88 + 38 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20414413 + ... + 20414771.

It is an arithmetic number, because the mean of its divisors is an integer number (74977650).

Almost surely, 2^7328838528 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 7328838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996424000).

7328838528 is an abundant number, since it is smaller than the sum of its proper divisors (16664009472).

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

7328838528 is a wasteful number, since it uses less digits than its factorization.

7328838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 554 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 7328838528 is about 85608.6358260661. The cubic root of 7328838528 is about 1942.4285425630.

The spelling of 7328838528 in words is "seven billion, three hundred twenty-eight million, eight hundred thirty-eight thousand, five hundred twenty-eight".