428047993007712 has 5760 divisors, whose sum is σ = 1831370010624000. Its totient is φ = 97339256340480.

The previous prime is 428047993007681. The next prime is 428047993007749. The reversal of 428047993007712 is 217700399740824.

428047993007712 is a `hidden beast` number, since 4 + 2 + 8 + 0 + 479 + 93 + 0 + 0 + 7 + 71 + 2 = 666.

It is a super-2 number, since 2×428047993007712² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428047993007712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3370456637793 + ... + 3370456637919.

It is an arithmetic number, because the mean of its divisors is an integer number (317946182400).

Almost surely, 2^{428047993007712} is an apocalyptic number.

428047993007712 is a gapful number since it is divisible by the number (42) 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 428047993007712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915685005312000).

428047993007712 is an abundant number, since it is smaller than the sum of its proper divisors (1403322017616288).

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

428047993007712 is a wasteful number, since it uses less digits than its factorization.

428047993007712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 428047993007712 in words is "four hundred twenty-eight trillion, forty-seven billion, nine hundred ninety-three million, seven thousand, seven hundred twelve".