46328905728 has 408 divisors, whose sum is σ = 156760916000. Its totient is φ = 13179027456.

The previous prime is 46328905723. The next prime is 46328905747. The reversal of 46328905728 is 82750982364.

46328905728 is a `hidden beast` number, since 4 + 63 + 2 + 8 + 9 + 0 + 572 + 8 = 666.

It is a super-2 number, since 2×46328905728² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46328905723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202309518 + ... + 202309746.

Almost surely, 2^46328905728 is an apocalyptic number.

46328905728 is a gapful number since it is divisible by the number (48) 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 46328905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78380458000).

46328905728 is an abundant number, since it is smaller than the sum of its proper divisors (110432010272).

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

46328905728 is an frugal number, since it uses more digits than its factorization.

46328905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 46328905728 in words is "forty-six billion, three hundred twenty-eight million, nine hundred five thousand, seven hundred twenty-eight".