42728466482724 has 192 divisors, whose sum is σ = 115597833120000. Its totient is φ = 12159121766400.

The previous prime is 42728466482707. The next prime is 42728466482777.

42728466482724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389302494 + ... + 389412234.

It is an arithmetic number, because the mean of its divisors is an integer number (602072047500).

Almost surely, 2^{42728466482724} is an apocalyptic number.

42728466482724 is a gapful number since it is divisible by the number (44) 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 42728466482724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57798916560000).

42728466482724 is an abundant number, since it is smaller than the sum of its proper divisors (72869366637276).

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

42728466482724 is a wasteful number, since it uses less digits than its factorization.

42728466482724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112574 (or 112572 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 42728466482724 in words is "forty-two trillion, seven hundred twenty-eight billion, four hundred sixty-six million, four hundred eighty-two thousand, seven hundred twenty-four".