428070816000 has 432 divisors, whose sum is σ = 1590044671488. Its totient is φ = 110467584000.

The previous prime is 428070815971. The next prime is 428070816049. The reversal of 428070816000 is 618070824.

428070816000 is a `hidden beast` number, since 42 + 8 + 0 + 7 + 0 + 8 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8904027 + ... + 8951973.

Almost surely, 2^428070816000 is an apocalyptic number.

428070816000 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 428070816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795022335744).

428070816000 is an abundant number, since it is smaller than the sum of its proper divisors (1161973855488).

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

428070816000 is a wasteful number, since it uses less digits than its factorization.

428070816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48015 (or 47988 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 428070816000 its reverse (618070824), we get a palindrome (428688886824).

The spelling of 428070816000 in words is "four hundred twenty-eight billion, seventy million, eight hundred sixteen thousand".