428055936000 has 1408 divisors, whose sum is σ = 1836409356288. Its totient is φ = 85893120000.

The previous prime is 428055935999. The next prime is 428055936001. The reversal of 428055936000 is 639550824.

It is an interprime number because it is at equal distance from previous prime (428055935999) and next prime (428055936001).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428055936001) 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 127 ways as a sum of consecutive naturals, for example, 916607767 + ... + 916608233.

Almost surely, 2^428055936000 is an apocalyptic number.

428055936000 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 428055936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918204678144).

428055936000 is an abundant number, since it is smaller than the sum of its proper divisors (1408353420288).

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

428055936000 is a wasteful number, since it uses less digits than its factorization.

428055936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 428055936000 in words is "four hundred twenty-eight billion, fifty-five million, nine hundred thirty-six thousand".