428835006000 has 640 divisors, whose sum is σ = 1596947788800. Its totient is φ = 109872000000.

The previous prime is 428835005981. The next prime is 428835006043. The reversal of 428835006000 is 600538824.

428835006000 is a `hidden beast` number, since 42 + 8 + 8 + 3 + 5 + 0 + 0 + 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393065455 + ... + 393066545.

It is an arithmetic number, because the mean of its divisors is an integer number (2495230920).

Almost surely, 2^428835006000 is an apocalyptic number.

428835006000 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 428835006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798473894400).

428835006000 is an abundant number, since it is smaller than the sum of its proper divisors (1168112782800).

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

428835006000 is a wasteful number, since it uses less digits than its factorization.

428835006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 428835006000 in words is "four hundred twenty-eight billion, eight hundred thirty-five million, six thousand".