428478859972800 has 4032 divisors, whose sum is σ = 2016048683737088. Its totient is φ = 87071293440000.

The previous prime is 428478859972789. The next prime is 428478859972853. The reversal of 428478859972800 is 8279958874824.

428478859972800 is a `hidden beast` number, since 4 + 2 + 8 + 478 + 8 + 59 + 97 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 428478859972800.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 264329955990 + ... + 264329957610.

Almost surely, 2^{428478859972800} is an apocalyptic number.

428478859972800 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 428478859972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008024341868544).

428478859972800 is an abundant number, since it is smaller than the sum of its proper divisors (1587569823764288).

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

428478859972800 is a wasteful number, since it uses less digits than its factorization.

428478859972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 81.

The spelling of 428478859972800 in words is "four hundred twenty-eight trillion, four hundred seventy-eight billion, eight hundred fifty-nine million, nine hundred seventy-two thousand, eight hundred".