42828428800 has 120 divisors (see below), whose sum is σ = 110725051536. Its totient is φ = 16386416640.

The previous prime is 42828428791. The next prime is 42828428803. The reversal of 42828428800 is 882482824.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42828428803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 221662 + ... + 367138.

Almost surely, 2^42828428800 is an apocalyptic number.

42828428800 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 42828428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55362525768).

42828428800 is an abundant number, since it is smaller than the sum of its proper divisors (67896622736).

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

42828428800 is a wasteful number, since it uses less digits than its factorization.

42828428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145528 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 46.

The spelling of 42828428800 in words is "forty-two billion, eight hundred twenty-eight million, four hundred twenty-eight thousand, eight hundred".