728502185376 has 576 divisors, whose sum is σ = 2614820382720. Its totient is φ = 187599421440.

The previous prime is 728502185347. The next prime is 728502185399. The reversal of 728502185376 is 673581205827.

728502185376 is a `hidden beast` number, since 7 + 2 + 8 + 50 + 218 + 5 + 376 = 666.

It is a super-2 number, since 2×728502185376² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103052370 + ... + 103059438.

It is an arithmetic number, because the mean of its divisors is an integer number (4539618720).

Almost surely, 2^728502185376 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 728502185376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307410191360).

728502185376 is an abundant number, since it is smaller than the sum of its proper divisors (1886318197344).

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

728502185376 is a wasteful number, since it uses less digits than its factorization.

728502185376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 728502185376 in words is "seven hundred twenty-eight billion, five hundred two million, one hundred eighty-five thousand, three hundred seventy-six".