428744326348800 has 2304 divisors, whose sum is σ = 1999028931638400. Its totient is φ = 89087252889600.

The previous prime is 428744326348799. The next prime is 428744326348847. The reversal of 428744326348800 is 8843623447824.

It is a happy number.

428744326348800 is a `hidden beast` number, since 4 + 2 + 87 + 4 + 432 + 6 + 3 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×428744326348800² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11921799619 + ... + 11921835581.

Almost surely, 2^{428744326348800} is an apocalyptic number.

428744326348800 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 428744326348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999514465819200).

428744326348800 is an abundant number, since it is smaller than the sum of its proper divisors (1570284605289600).

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

428744326348800 is a wasteful number, since it uses less digits than its factorization.

428744326348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36037 (or 35991 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 63.

The spelling of 428744326348800 in words is "four hundred twenty-eight trillion, seven hundred forty-four billion, three hundred twenty-six million, three hundred forty-eight thousand, eight hundred".