428254580736 has 208 divisors, whose sum is σ = 1303050491200. Its totient is φ = 138892050432.

The previous prime is 428254580707. The next prime is 428254580753. The reversal of 428254580736 is 637085452824.

428254580736 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 54 + 580 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4039575 + ... + 4144233.

Almost surely, 2^428254580736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428254580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651525245600).

428254580736 is an abundant number, since it is smaller than the sum of its proper divisors (874795910464).

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

428254580736 is a wasteful number, since it uses less digits than its factorization.

428254580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104729 (or 104701 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 428254580736 in words is "four hundred twenty-eight billion, two hundred fifty-four million, five hundred eighty thousand, seven hundred thirty-six".