752360328 has 192 divisors, whose sum is σ = 2247897600. Its totient is φ = 226437120.

The previous prime is 752360321. The next prime is 752360333. The reversal of 752360328 is 823063257.

752360328 is a `hidden beast` number, since 7 + 5 + 23 + 603 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 752360292 and 752360301.

It is not an unprimeable number, because it can be changed into a prime (752360321) 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 47 ways as a sum of consecutive naturals, for example, 4792026 + ... + 4792182.

It is an arithmetic number, because the mean of its divisors is an integer number (11707800).

Almost surely, 2^752360328 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 752360328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123948800).

752360328 is an abundant number, since it is smaller than the sum of its proper divisors (1495537272).

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

752360328 is a wasteful number, since it uses less digits than its factorization.

752360328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 752360328 is about 27429.1875198665. The cubic root of 752360328 is about 909.5124095615.

The spelling of 752360328 in words is "seven hundred fifty-two million, three hundred sixty thousand, three hundred twenty-eight".