428695686720 has 1344 divisors, whose sum is σ = 1858333900800. Its totient is φ = 88504565760.

The previous prime is 428695686697. The next prime is 428695686737. The reversal of 428695686720 is 27686596824.

428695686720 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 9 + 568 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

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 191 ways as a sum of consecutive naturals, for example, 938064732 + ... + 938065188.

Almost surely, 2^428695686720 is an apocalyptic number.

428695686720 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 428695686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929166950400).

428695686720 is an abundant number, since it is smaller than the sum of its proper divisors (1429638214080).

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

428695686720 is a wasteful number, since it uses less digits than its factorization.

428695686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 428695686720 in words is "four hundred twenty-eight billion, six hundred ninety-five million, six hundred eighty-six thousand, seven hundred twenty".