42928872000 has 896 divisors, whose sum is σ = 169806274560. Its totient is φ = 9354240000.

The previous prime is 42928871981. The next prime is 42928872043. The reversal of 42928872000 is 27882924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 604631965 + ... + 604632035.

Almost surely, 2^42928872000 is an apocalyptic number.

42928872000 is a gapful number since it is divisible by the number (40) 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 42928872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84903137280).

42928872000 is an abundant number, since it is smaller than the sum of its proper divisors (126877402560).

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

42928872000 is a wasteful number, since it uses less digits than its factorization.

42928872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 42928872000 in words is "forty-two billion, nine hundred twenty-eight million, eight hundred seventy-two thousand".