428359778010 has 192 divisors, whose sum is σ = 1156346440704. Its totient is φ = 109947801600.

The previous prime is 428359777997. The next prime is 428359778053. The reversal of 428359778010 is 10877953824.

It is a happy number.

428359778010 is a `hidden beast` number, since 42 + 8 + 3 + 597 + 7 + 8 + 0 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137249250 + ... + 137252370.

It is an arithmetic number, because the mean of its divisors is an integer number (6022637712).

Almost surely, 2^428359778010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428359778010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578173220352).

428359778010 is an abundant number, since it is smaller than the sum of its proper divisors (727986662694).

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

428359778010 is a wasteful number, since it uses less digits than its factorization.

428359778010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

Adding to 428359778010 its sum of digits (54), we get a square (428359778064 = 654492²).

The spelling of 428359778010 in words is "four hundred twenty-eight billion, three hundred fifty-nine million, seven hundred seventy-eight thousand, ten".