42828107784 has 768 divisors, whose sum is σ = 151173120000. Its totient is φ = 10059033600.

The previous prime is 42828107783. The next prime is 42828107809. The reversal of 42828107784 is 48770182824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42828107783) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 586686372 + ... + 586686444.

It is an arithmetic number, because the mean of its divisors is an integer number (196840000).

Almost surely, 2^42828107784 is an apocalyptic number.

42828107784 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 42828107784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75586560000).

42828107784 is an abundant number, since it is smaller than the sum of its proper divisors (108345012216).

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

42828107784 is a wasteful number, since it uses less digits than its factorization.

42828107784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 42828107784 in words is "forty-two billion, eight hundred twenty-eight million, one hundred seven thousand, seven hundred eighty-four".