428229544018752 has 896 divisors, whose sum is σ = 1485006168391680. Its totient is φ = 118479216844800.

The previous prime is 428229544018709. The next prime is 428229544018753. The reversal of 428229544018752 is 257810445922824.

428229544018752 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 2 + 9 + 5 + 440 + 187 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 428229544018752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428229544018753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26930974002 + ... + 26930989902.

Almost surely, 2^{428229544018752} is an apocalyptic number.

428229544018752 is a gapful number since it is divisible by the number (42) 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 428229544018752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742503084195840).

428229544018752 is an abundant number, since it is smaller than the sum of its proper divisors (1056776624372928).

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

428229544018752 is a wasteful number, since it uses less digits than its factorization.

428229544018752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 428229544018752 in words is "four hundred twenty-eight trillion, two hundred twenty-nine billion, five hundred forty-four million, eighteen thousand, seven hundred fifty-two".