428546008800 has 1728 divisors, whose sum is σ = 1983593041920. Its totient is φ = 87340032000.

The previous prime is 428546008777. The next prime is 428546008811. The reversal of 428546008800 is 8800645824.

428546008800 is a `hidden beast` number, since 4 + 28 + 546 + 0 + 0 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 792136530 + ... + 792137070.

It is an arithmetic number, because the mean of its divisors is an integer number (1147912640).

Almost surely, 2^428546008800 is an apocalyptic number.

428546008800 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 428546008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991796520960).

428546008800 is an abundant number, since it is smaller than the sum of its proper divisors (1555047033120).

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

428546008800 is a wasteful number, since it uses less digits than its factorization.

428546008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 428546008800 in words is "four hundred twenty-eight billion, five hundred forty-six million, eight thousand, eight hundred".